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Finding the Fourth Proportional to 105,800.76, 146,008.14 and 58,057.14

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Solution

The fourth proportional to 105,800.76, 146,008.14 and 58,057.14 is: 80,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800.76 : 146,008.14 = 58,057.14 : x
  2. Step 2: Convert to fraction form
    105,800.76/146,008.14 = 58,057.14/x
  3. Step 3: Cross multiply
    105,800.76x = 146,008.14 × 58,057.14
  4. Step 4: Simplify right side
    105,800.76x = 8,476,815,025.12
  5. Step 5: Solve for x
    x = 8,476,815,025.12/105,800.76
  6. Step 6: Final answer
    x = 80,120.55

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.