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Finding the Fourth Proportional to 361,899.60, 542,766.76 and 137,284.98

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Solution

The fourth proportional to 361,899.60, 542,766.76 and 137,284.98 is: 205,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,899.60 : 542,766.76 = 137,284.98 : x
  2. Step 2: Convert to fraction form
    361,899.60/542,766.76 = 137,284.98/x
  3. Step 3: Cross multiply
    361,899.60x = 542,766.76 × 137,284.98
  4. Step 4: Simplify right side
    361,899.60x = 74,513,723,791.26
  5. Step 5: Solve for x
    x = 74,513,723,791.26/361,899.60
  6. Step 6: Final answer
    x = 205,896.12

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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.