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Finding the Fourth Proportional to 137,288.38, 205,938.32 and 48,542.62

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Solution

The fourth proportional to 137,288.38, 205,938.32 and 48,542.62 is: 72,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,288.38 : 205,938.32 = 48,542.62 : x
  2. Step 2: Convert to fraction form
    137,288.38/205,938.32 = 48,542.62/x
  3. Step 3: Cross multiply
    137,288.38x = 205,938.32 × 48,542.62
  4. Step 4: Simplify right side
    137,288.38x = 9,996,785,611.20
  5. Step 5: Solve for x
    x = 9,996,785,611.20/137,288.38
  6. Step 6: Final answer
    x = 72,815.96

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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.