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Finding the Fourth Proportional to 159,714.54, 239,519.97 and 53,069.85

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Solution

The fourth proportional to 159,714.54, 239,519.97 and 53,069.85 is: 79,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714.54 : 239,519.97 = 53,069.85 : x
  2. Step 2: Convert to fraction form
    159,714.54/239,519.97 = 53,069.85/x
  3. Step 3: Cross multiply
    159,714.54x = 239,519.97 × 53,069.85
  4. Step 4: Simplify right side
    159,714.54x = 12,711,288,879.90
  5. Step 5: Solve for x
    x = 12,711,288,879.90/159,714.54
  6. Step 6: Final answer
    x = 79,587.55

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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.