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Finding the Fourth Proportional to 172,508.38, 238,067.86 and 96,031.42

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Solution

The fourth proportional to 172,508.38, 238,067.86 and 96,031.42 is: 132,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,508.38 : 238,067.86 = 96,031.42 : x
  2. Step 2: Convert to fraction form
    172,508.38/238,067.86 = 96,031.42/x
  3. Step 3: Cross multiply
    172,508.38x = 238,067.86 × 96,031.42
  4. Step 4: Simplify right side
    172,508.38x = 22,861,994,652.16
  5. Step 5: Solve for x
    x = 22,861,994,652.16/172,508.38
  6. Step 6: Final answer
    x = 132,526.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.