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Finding the Fourth Proportional to 231,594.30, 319,605.84 and 129,618.90

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Solution

The fourth proportional to 231,594.30, 319,605.84 and 129,618.90 is: 178,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,594.30 : 319,605.84 = 129,618.90 : x
  2. Step 2: Convert to fraction form
    231,594.30/319,605.84 = 129,618.90/x
  3. Step 3: Cross multiply
    231,594.30x = 319,605.84 × 129,618.90
  4. Step 4: Simplify right side
    231,594.30x = 41,426,957,414.38
  5. Step 5: Solve for x
    x = 41,426,957,414.38/231,594.30
  6. Step 6: Final answer
    x = 178,877.28

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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.