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Finding the Fourth Proportional to 363,932.18, 546,067.36 and 139,218.34

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Solution

The fourth proportional to 363,932.18, 546,067.36 and 139,218.34 is: 208,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,932.18 : 546,067.36 = 139,218.34 : x
  2. Step 2: Convert to fraction form
    363,932.18/546,067.36 = 139,218.34/x
  3. Step 3: Cross multiply
    363,932.18x = 546,067.36 × 139,218.34
  4. Step 4: Simplify right side
    363,932.18x = 76,022,591,387.38
  5. Step 5: Solve for x
    x = 76,022,591,387.38/363,932.18
  6. Step 6: Final answer
    x = 208,892.19

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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.