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Finding the Fourth Proportional to 361,880.94, 542,824.92 and 137,181

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Solution

The fourth proportional to 361,880.94, 542,824.92 and 137,181 is: 205,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,880.94 : 542,824.92 = 137,181 : x
  2. Step 2: Convert to fraction form
    361,880.94/542,824.92 = 137,181/x
  3. Step 3: Cross multiply
    361,880.94x = 542,824.92 × 137,181
  4. Step 4: Simplify right side
    361,880.94x = 74,465,265,350.52
  5. Step 5: Solve for x
    x = 74,465,265,350.52/361,880.94
  6. Step 6: Final answer
    x = 205,772.83

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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.