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Finding the Fourth Proportional to 137,464.80, 206,000.40 and 78,175.20

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Solution

The fourth proportional to 137,464.80, 206,000.40 and 78,175.20 is: 117,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464.80 : 206,000.40 = 78,175.20 : x
  2. Step 2: Convert to fraction form
    137,464.80/206,000.40 = 78,175.20/x
  3. Step 3: Cross multiply
    137,464.80x = 206,000.40 × 78,175.20
  4. Step 4: Simplify right side
    137,464.80x = 16,104,122,470.08
  5. Step 5: Solve for x
    x = 16,104,122,470.08/137,464.80
  6. Step 6: Final answer
    x = 117,150.88

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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.