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Finding the Fourth Proportional to 278,906.10, 418,359.15 and 91,893.30

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Solution

The fourth proportional to 278,906.10, 418,359.15 and 91,893.30 is: 137,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,906.10 : 418,359.15 = 91,893.30 : x
  2. Step 2: Convert to fraction form
    278,906.10/418,359.15 = 91,893.30/x
  3. Step 3: Cross multiply
    278,906.10x = 418,359.15 × 91,893.30
  4. Step 4: Simplify right side
    278,906.10x = 38,444,402,878.70
  5. Step 5: Solve for x
    x = 38,444,402,878.70/278,906.10
  6. Step 6: Final answer
    x = 137,839.95

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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.