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Finding the Fourth Proportional to 278,987, 418,480.71 and 91,998.50

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Solution

The fourth proportional to 278,987, 418,480.71 and 91,998.50 is: 137,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,987 : 418,480.71 = 91,998.50 : x
  2. Step 2: Convert to fraction form
    278,987/418,480.71 = 91,998.50/x
  3. Step 3: Cross multiply
    278,987x = 418,480.71 × 91,998.50
  4. Step 4: Simplify right side
    278,987x = 38,499,597,138.94
  5. Step 5: Solve for x
    x = 38,499,597,138.94/278,987
  6. Step 6: Final answer
    x = 137,997.82

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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.