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Finding the Fourth Proportional to 230,031.60, 317,442.96 and 129,429.60

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Solution

The fourth proportional to 230,031.60, 317,442.96 and 129,429.60 is: 178,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,031.60 : 317,442.96 = 129,429.60 : x
  2. Step 2: Convert to fraction form
    230,031.60/317,442.96 = 129,429.60/x
  3. Step 3: Cross multiply
    230,031.60x = 317,442.96 × 129,429.60
  4. Step 4: Simplify right side
    230,031.60x = 41,086,515,335.62
  5. Step 5: Solve for x
    x = 41,086,515,335.62/230,031.60
  6. Step 6: Final answer
    x = 178,612.48

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