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Finding the Fourth Proportional to 257,557.38, 386,257.50 and 178,106.10

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Solution

The fourth proportional to 257,557.38, 386,257.50 and 178,106.10 is: 267,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,557.38 : 386,257.50 = 178,106.10 : x
  2. Step 2: Convert to fraction form
    257,557.38/386,257.50 = 178,106.10/x
  3. Step 3: Cross multiply
    257,557.38x = 386,257.50 × 178,106.10
  4. Step 4: Simplify right side
    257,557.38x = 68,794,816,920.75
  5. Step 5: Solve for x
    x = 68,794,816,920.75/257,557.38
  6. Step 6: Final answer
    x = 267,104.82

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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.