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Finding the Fourth Proportional to 172,764.78, 238,419.34 and 96,291.74

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Solution

The fourth proportional to 172,764.78, 238,419.34 and 96,291.74 is: 132,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,764.78 : 238,419.34 = 96,291.74 : x
  2. Step 2: Convert to fraction form
    172,764.78/238,419.34 = 96,291.74/x
  3. Step 3: Cross multiply
    172,764.78x = 238,419.34 × 96,291.74
  4. Step 4: Simplify right side
    172,764.78x = 22,957,813,098.25
  5. Step 5: Solve for x
    x = 22,957,813,098.25/172,764.78
  6. Step 6: Final answer
    x = 132,884.80

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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.