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Finding the Fourth Proportional to 106,502.16, 146,972.16 and 58,757.52

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Solution

The fourth proportional to 106,502.16, 146,972.16 and 58,757.52 is: 81,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502.16 : 146,972.16 = 58,757.52 : x
  2. Step 2: Convert to fraction form
    106,502.16/146,972.16 = 58,757.52/x
  3. Step 3: Cross multiply
    106,502.16x = 146,972.16 × 58,757.52
  4. Step 4: Simplify right side
    106,502.16x = 8,635,719,630.64
  5. Step 5: Solve for x
    x = 8,635,719,630.64/106,502.16
  6. Step 6: Final answer
    x = 81,084.92

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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.