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Finding the Fourth Proportional to 242,007.26, 363,084.78 and 123,761.66

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Solution

The fourth proportional to 242,007.26, 363,084.78 and 123,761.66 is: 185,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,007.26 : 363,084.78 = 123,761.66 : x
  2. Step 2: Convert to fraction form
    242,007.26/363,084.78 = 123,761.66/x
  3. Step 3: Cross multiply
    242,007.26x = 363,084.78 × 123,761.66
  4. Step 4: Simplify right side
    242,007.26x = 44,935,975,093.53
  5. Step 5: Solve for x
    x = 44,935,975,093.53/242,007.26
  6. Step 6: Final answer
    x = 185,680.28

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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.