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Finding the Fourth Proportional to 137,672.40, 206,484 and 36,471.20

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Solution

The fourth proportional to 137,672.40, 206,484 and 36,471.20 is: 54,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,672.40 : 206,484 = 36,471.20 : x
  2. Step 2: Convert to fraction form
    137,672.40/206,484 = 36,471.20/x
  3. Step 3: Cross multiply
    137,672.40x = 206,484 × 36,471.20
  4. Step 4: Simplify right side
    137,672.40x = 7,530,719,260.80
  5. Step 5: Solve for x
    x = 7,530,719,260.80/137,672.40
  6. Step 6: Final answer
    x = 54,700.28

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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.