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Finding the Fourth Proportional to 278,057.30, 383,704.15 and 157,191.38

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Solution

The fourth proportional to 278,057.30, 383,704.15 and 157,191.38 is: 216,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.30 : 383,704.15 = 157,191.38 : x
  2. Step 2: Convert to fraction form
    278,057.30/383,704.15 = 157,191.38/x
  3. Step 3: Cross multiply
    278,057.30x = 383,704.15 × 157,191.38
  4. Step 4: Simplify right side
    278,057.30x = 60,314,982,538.73
  5. Step 5: Solve for x
    x = 60,314,982,538.73/278,057.30
  6. Step 6: Final answer
    x = 216,915.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.