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Finding the Fourth Proportional to 218,053.92, 326,747 and 146,712.28

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Solution

The fourth proportional to 218,053.92, 326,747 and 146,712.28 is: 219,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,053.92 : 326,747 = 146,712.28 : x
  2. Step 2: Convert to fraction form
    218,053.92/326,747 = 146,712.28/x
  3. Step 3: Cross multiply
    218,053.92x = 326,747 × 146,712.28
  4. Step 4: Simplify right side
    218,053.92x = 47,937,797,353.16
  5. Step 5: Solve for x
    x = 47,937,797,353.16/218,053.92
  6. Step 6: Final answer
    x = 219,843.78

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