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Finding the Fourth Proportional to 242,517.96, 363,882.78 and 84,859.56

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Solution

The fourth proportional to 242,517.96, 363,882.78 and 84,859.56 is: 127,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,517.96 : 363,882.78 = 84,859.56 : x
  2. Step 2: Convert to fraction form
    242,517.96/363,882.78 = 84,859.56/x
  3. Step 3: Cross multiply
    242,517.96x = 363,882.78 × 84,859.56
  4. Step 4: Simplify right side
    242,517.96x = 30,878,932,602.38
  5. Step 5: Solve for x
    x = 30,878,932,602.38/242,517.96
  6. Step 6: Final answer
    x = 127,326.37

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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.