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Finding the Fourth Proportional to 137,514.70, 206,282.85 and 58,629.52

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Solution

The fourth proportional to 137,514.70, 206,282.85 and 58,629.52 is: 87,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,514.70 : 206,282.85 = 58,629.52 : x
  2. Step 2: Convert to fraction form
    137,514.70/206,282.85 = 58,629.52/x
  3. Step 3: Cross multiply
    137,514.70x = 206,282.85 × 58,629.52
  4. Step 4: Simplify right side
    137,514.70x = 12,094,264,479.73
  5. Step 5: Solve for x
    x = 12,094,264,479.73/137,514.70
  6. Step 6: Final answer
    x = 87,948.88

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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.