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Finding the Fourth Proportional to 114,540, 158,134.32 and 74,865.12

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Solution

The fourth proportional to 114,540, 158,134.32 and 74,865.12 is: 103,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540 : 158,134.32 = 74,865.12 : x
  2. Step 2: Convert to fraction form
    114,540/158,134.32 = 74,865.12/x
  3. Step 3: Cross multiply
    114,540x = 158,134.32 × 74,865.12
  4. Step 4: Simplify right side
    114,540x = 11,838,744,842.92
  5. Step 5: Solve for x
    x = 11,838,744,842.92/114,540
  6. Step 6: Final answer
    x = 103,359.04

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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.