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Finding the Fourth Proportional to 242,294.88, 363,494.10 and 73,828.65

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Solution

The fourth proportional to 242,294.88, 363,494.10 and 73,828.65 is: 110,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,294.88 : 363,494.10 = 73,828.65 : x
  2. Step 2: Convert to fraction form
    242,294.88/363,494.10 = 73,828.65/x
  3. Step 3: Cross multiply
    242,294.88x = 363,494.10 × 73,828.65
  4. Step 4: Simplify right side
    242,294.88x = 26,836,278,685.97
  5. Step 5: Solve for x
    x = 26,836,278,685.97/242,294.88
  6. Step 6: Final answer
    x = 110,758.75

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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.