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Finding the Fourth Proportional to 242,360.78, 363,707.24 and 84,589.24

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Solution

The fourth proportional to 242,360.78, 363,707.24 and 84,589.24 is: 126,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,360.78 : 363,707.24 = 84,589.24 : x
  2. Step 2: Convert to fraction form
    242,360.78/363,707.24 = 84,589.24/x
  3. Step 3: Cross multiply
    242,360.78x = 363,707.24 × 84,589.24
  4. Step 4: Simplify right side
    242,360.78x = 30,765,719,014.10
  5. Step 5: Solve for x
    x = 30,765,719,014.10/242,360.78
  6. Step 6: Final answer
    x = 126,941.82

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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.