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Finding the Fourth Proportional to 158,569.20, 218,824.92 and 86,947.38

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Solution

The fourth proportional to 158,569.20, 218,824.92 and 86,947.38 is: 119,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,569.20 : 218,824.92 = 86,947.38 : x
  2. Step 2: Convert to fraction form
    158,569.20/218,824.92 = 86,947.38/x
  3. Step 3: Cross multiply
    158,569.20x = 218,824.92 × 86,947.38
  4. Step 4: Simplify right side
    158,569.20x = 19,026,253,472.71
  5. Step 5: Solve for x
    x = 19,026,253,472.71/158,569.20
  6. Step 6: Final answer
    x = 119,987.07

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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.