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Finding the Fourth Proportional to 106,188.56, 146,540.64 and 58,443.62

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Solution

The fourth proportional to 106,188.56, 146,540.64 and 58,443.62 is: 80,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,188.56 : 146,540.64 = 58,443.62 : x
  2. Step 2: Convert to fraction form
    106,188.56/146,540.64 = 58,443.62/x
  3. Step 3: Cross multiply
    106,188.56x = 146,540.64 × 58,443.62
  4. Step 4: Simplify right side
    106,188.56x = 8,564,364,746.01
  5. Step 5: Solve for x
    x = 8,564,364,746.01/106,188.56
  6. Step 6: Final answer
    x = 80,652.43

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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.