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Finding the Fourth Proportional to 242,333.62, 363,474.48 and 84,565.06

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Solution

The fourth proportional to 242,333.62, 363,474.48 and 84,565.06 is: 126,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,333.62 : 363,474.48 = 84,565.06 : x
  2. Step 2: Convert to fraction form
    242,333.62/363,474.48 = 84,565.06/x
  3. Step 3: Cross multiply
    242,333.62x = 363,474.48 × 84,565.06
  4. Step 4: Simplify right side
    242,333.62x = 30,737,241,209.67
  5. Step 5: Solve for x
    x = 30,737,241,209.67/242,333.62
  6. Step 6: Final answer
    x = 126,838.53

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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.