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Finding the Fourth Proportional to 138,285.92, 207,427.52 and 63,384.80

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Solution

The fourth proportional to 138,285.92, 207,427.52 and 63,384.80 is: 95,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,285.92 : 207,427.52 = 63,384.80 : x
  2. Step 2: Convert to fraction form
    138,285.92/207,427.52 = 63,384.80/x
  3. Step 3: Cross multiply
    138,285.92x = 207,427.52 × 63,384.80
  4. Step 4: Simplify right side
    138,285.92x = 13,147,751,869.70
  5. Step 5: Solve for x
    x = 13,147,751,869.70/138,285.92
  6. Step 6: Final answer
    x = 95,076.58

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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.