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Finding the Fourth Proportional to 178,391.61, 267,062.52 and 119,080.17

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Solution

The fourth proportional to 178,391.61, 267,062.52 and 119,080.17 is: 178,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,391.61 : 267,062.52 = 119,080.17 : x
  2. Step 2: Convert to fraction form
    178,391.61/267,062.52 = 119,080.17/x
  3. Step 3: Cross multiply
    178,391.61x = 267,062.52 × 119,080.17
  4. Step 4: Simplify right side
    178,391.61x = 31,801,850,282.23
  5. Step 5: Solve for x
    x = 31,801,850,282.23/178,391.61
  6. Step 6: Final answer
    x = 178,269.88

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Why These Related Problems?

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