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Finding the Fourth Proportional to 242,520.96, 363,792.96 and 76,321.92

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Solution

The fourth proportional to 242,520.96, 363,792.96 and 76,321.92 is: 114,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,520.96 : 363,792.96 = 76,321.92 : x
  2. Step 2: Convert to fraction form
    242,520.96/363,792.96 = 76,321.92/x
  3. Step 3: Cross multiply
    242,520.96x = 363,792.96 × 76,321.92
  4. Step 4: Simplify right side
    242,520.96x = 27,765,377,189.68
  5. Step 5: Solve for x
    x = 27,765,377,189.68/242,520.96
  6. Step 6: Final answer
    x = 114,486.51

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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.