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Finding the Fourth Proportional to 361,767.31, 542,655.54 and 137,067.38

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Solution

The fourth proportional to 361,767.31, 542,655.54 and 137,067.38 is: 205,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,767.31 : 542,655.54 = 137,067.38 : x
  2. Step 2: Convert to fraction form
    361,767.31/542,655.54 = 137,067.38/x
  3. Step 3: Cross multiply
    361,767.31x = 542,655.54 × 137,067.38
  4. Step 4: Simplify right side
    361,767.31x = 74,380,374,723.93
  5. Step 5: Solve for x
    x = 74,380,374,723.93/361,767.31
  6. Step 6: Final answer
    x = 205,602.81

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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.