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Finding the Fourth Proportional to 137,725.20, 206,587.80 and 120,229.20

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Solution

The fourth proportional to 137,725.20, 206,587.80 and 120,229.20 is: 180,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,725.20 : 206,587.80 = 120,229.20 : x
  2. Step 2: Convert to fraction form
    137,725.20/206,587.80 = 120,229.20/x
  3. Step 3: Cross multiply
    137,725.20x = 206,587.80 × 120,229.20
  4. Step 4: Simplify right side
    137,725.20x = 24,837,885,923.76
  5. Step 5: Solve for x
    x = 24,837,885,923.76/137,725.20
  6. Step 6: Final answer
    x = 180,343.80

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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.