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Finding the Fourth Proportional to 278,983, 418,658.82 and 131,250.52

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Solution

The fourth proportional to 278,983, 418,658.82 and 131,250.52 is: 196,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,983 : 418,658.82 = 131,250.52 : x
  2. Step 2: Convert to fraction form
    278,983/418,658.82 = 131,250.52/x
  3. Step 3: Cross multiply
    278,983x = 418,658.82 × 131,250.52
  4. Step 4: Simplify right side
    278,983x = 54,949,187,827.59
  5. Step 5: Solve for x
    x = 54,949,187,827.59/278,983
  6. Step 6: Final answer
    x = 196,962.50

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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.