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Finding the Fourth Proportional to 242,383.53, 363,591.90 and 82,394.36

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Solution

The fourth proportional to 242,383.53, 363,591.90 and 82,394.36 is: 123,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,383.53 : 363,591.90 = 82,394.36 : x
  2. Step 2: Convert to fraction form
    242,383.53/363,591.90 = 82,394.36/x
  3. Step 3: Cross multiply
    242,383.53x = 363,591.90 × 82,394.36
  4. Step 4: Simplify right side
    242,383.53x = 29,957,920,083.72
  5. Step 5: Solve for x
    x = 29,957,920,083.72/242,383.53
  6. Step 6: Final answer
    x = 123,597.18

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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.