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Finding the Fourth Proportional to 267,641.56, 369,327 and 146,780.20

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Solution

The fourth proportional to 267,641.56, 369,327 and 146,780.20 is: 202,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,641.56 : 369,327 = 146,780.20 : x
  2. Step 2: Convert to fraction form
    267,641.56/369,327 = 146,780.20/x
  3. Step 3: Cross multiply
    267,641.56x = 369,327 × 146,780.20
  4. Step 4: Simplify right side
    267,641.56x = 54,209,890,925.40
  5. Step 5: Solve for x
    x = 54,209,890,925.40/267,641.56
  6. Step 6: Final answer
    x = 202,546.61

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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.