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Finding the Fourth Proportional to 137,480.31, 206,253.27 and 48,741.57

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Solution

The fourth proportional to 137,480.31, 206,253.27 and 48,741.57 is: 73,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,480.31 : 206,253.27 = 48,741.57 : x
  2. Step 2: Convert to fraction form
    137,480.31/206,253.27 = 48,741.57/x
  3. Step 3: Cross multiply
    137,480.31x = 206,253.27 × 48,741.57
  4. Step 4: Simplify right side
    137,480.31x = 10,053,108,197.43
  5. Step 5: Solve for x
    x = 10,053,108,197.43/137,480.31
  6. Step 6: Final answer
    x = 73,123.99

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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.