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Finding the Fourth Proportional to 242,174.92, 363,291.54 and 80,074.48

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Solution

The fourth proportional to 242,174.92, 363,291.54 and 80,074.48 is: 120,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,174.92 : 363,291.54 = 80,074.48 : x
  2. Step 2: Convert to fraction form
    242,174.92/363,291.54 = 80,074.48/x
  3. Step 3: Cross multiply
    242,174.92x = 363,291.54 × 80,074.48
  4. Step 4: Simplify right side
    242,174.92x = 29,090,381,153.90
  5. Step 5: Solve for x
    x = 29,090,381,153.90/242,174.92
  6. Step 6: Final answer
    x = 120,121.36

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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.