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Finding the Fourth Proportional to 159,869.92, 239,852.88 and 75,694.24

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Solution

The fourth proportional to 159,869.92, 239,852.88 and 75,694.24 is: 113,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,869.92 : 239,852.88 = 75,694.24 : x
  2. Step 2: Convert to fraction form
    159,869.92/239,852.88 = 75,694.24/x
  3. Step 3: Cross multiply
    159,869.92x = 239,852.88 × 75,694.24
  4. Step 4: Simplify right side
    159,869.92x = 18,155,481,463.41
  5. Step 5: Solve for x
    x = 18,155,481,463.41/159,869.92
  6. Step 6: Final answer
    x = 113,564.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.