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Finding the Fourth Proportional to 225,989.92, 338,877.12 and 83,737.60

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Solution

The fourth proportional to 225,989.92, 338,877.12 and 83,737.60 is: 125,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,989.92 : 338,877.12 = 83,737.60 : x
  2. Step 2: Convert to fraction form
    225,989.92/338,877.12 = 83,737.60/x
  3. Step 3: Cross multiply
    225,989.92x = 338,877.12 × 83,737.60
  4. Step 4: Simplify right side
    225,989.92x = 28,376,756,723.71
  5. Step 5: Solve for x
    x = 28,376,756,723.71/225,989.92
  6. Step 6: Final answer
    x = 125,566.47

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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.