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Finding the Fourth Proportional to 231,411.48, 319,377.41 and 129,442.60

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Solution

The fourth proportional to 231,411.48, 319,377.41 and 129,442.60 is: 178,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.48 : 319,377.41 = 129,442.60 : x
  2. Step 2: Convert to fraction form
    231,411.48/319,377.41 = 129,442.60/x
  3. Step 3: Cross multiply
    231,411.48x = 319,377.41 × 129,442.60
  4. Step 4: Simplify right side
    231,411.48x = 41,341,042,331.67
  5. Step 5: Solve for x
    x = 41,341,042,331.67/231,411.48
  6. Step 6: Final answer
    x = 178,647.33

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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.