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Finding the Fourth Proportional to 408,043.90, 612,123.45 and 127,531.90

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Solution

The fourth proportional to 408,043.90, 612,123.45 and 127,531.90 is: 191,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.90 : 612,123.45 = 127,531.90 : x
  2. Step 2: Convert to fraction form
    408,043.90/612,123.45 = 127,531.90/x
  3. Step 3: Cross multiply
    408,043.90x = 612,123.45 × 127,531.90
  4. Step 4: Simplify right side
    408,043.90x = 78,065,266,613.06
  5. Step 5: Solve for x
    x = 78,065,266,613.06/408,043.90
  6. Step 6: Final answer
    x = 191,315.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.