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Finding the Fourth Proportional to 105,892.44, 146,135.40 and 58,145.40

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Solution

The fourth proportional to 105,892.44, 146,135.40 and 58,145.40 is: 80,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892.44 : 146,135.40 = 58,145.40 : x
  2. Step 2: Convert to fraction form
    105,892.44/146,135.40 = 58,145.40/x
  3. Step 3: Cross multiply
    105,892.44x = 146,135.40 × 58,145.40
  4. Step 4: Simplify right side
    105,892.44x = 8,497,101,287.16
  5. Step 5: Solve for x
    x = 8,497,101,287.16/105,892.44
  6. Step 6: Final answer
    x = 80,242.76

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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.