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Finding the Fourth Proportional to 361,958.04, 542,982.96 and 137,396.88

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Solution

The fourth proportional to 361,958.04, 542,982.96 and 137,396.88 is: 206,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,958.04 : 542,982.96 = 137,396.88 : x
  2. Step 2: Convert to fraction form
    361,958.04/542,982.96 = 137,396.88/x
  3. Step 3: Cross multiply
    361,958.04x = 542,982.96 × 137,396.88
  4. Step 4: Simplify right side
    361,958.04x = 74,604,164,597.16
  5. Step 5: Solve for x
    x = 74,604,164,597.16/361,958.04
  6. Step 6: Final answer
    x = 206,112.74

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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.