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Finding the Fourth Proportional to 100,430.40, 138,593.92 and 55,718.40

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Solution

The fourth proportional to 100,430.40, 138,593.92 and 55,718.40 is: 76,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,430.40 : 138,593.92 = 55,718.40 : x
  2. Step 2: Convert to fraction form
    100,430.40/138,593.92 = 55,718.40/x
  3. Step 3: Cross multiply
    100,430.40x = 138,593.92 × 55,718.40
  4. Step 4: Simplify right side
    100,430.40x = 7,722,231,472.13
  5. Step 5: Solve for x
    x = 7,722,231,472.13/100,430.40
  6. Step 6: Final answer
    x = 76,891.37

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