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Finding the Fourth Proportional to 242,090.40, 363,169.62 and 84,295.92

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Solution

The fourth proportional to 242,090.40, 363,169.62 and 84,295.92 is: 126,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,090.40 : 363,169.62 = 84,295.92 : x
  2. Step 2: Convert to fraction form
    242,090.40/363,169.62 = 84,295.92/x
  3. Step 3: Cross multiply
    242,090.40x = 363,169.62 × 84,295.92
  4. Step 4: Simplify right side
    242,090.40x = 30,613,717,233.95
  5. Step 5: Solve for x
    x = 30,613,717,233.95/242,090.40
  6. Step 6: Final answer
    x = 126,455.73

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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.