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Finding the Fourth Proportional to 257,554.38, 386,253 and 178,103.10

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Solution

The fourth proportional to 257,554.38, 386,253 and 178,103.10 is: 267,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,554.38 : 386,253 = 178,103.10 : x
  2. Step 2: Convert to fraction form
    257,554.38/386,253 = 178,103.10/x
  3. Step 3: Cross multiply
    257,554.38x = 386,253 × 178,103.10
  4. Step 4: Simplify right side
    257,554.38x = 68,792,856,684.30
  5. Step 5: Solve for x
    x = 68,792,856,684.30/257,554.38
  6. Step 6: Final answer
    x = 267,100.32

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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.