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Finding the Fourth Proportional to 136,197.34, 204,296.88 and 47,452.50

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Solution

The fourth proportional to 136,197.34, 204,296.88 and 47,452.50 is: 71,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,197.34 : 204,296.88 = 47,452.50 : x
  2. Step 2: Convert to fraction form
    136,197.34/204,296.88 = 47,452.50/x
  3. Step 3: Cross multiply
    136,197.34x = 204,296.88 × 47,452.50
  4. Step 4: Simplify right side
    136,197.34x = 9,694,397,698.20
  5. Step 5: Solve for x
    x = 9,694,397,698.20/136,197.34
  6. Step 6: Final answer
    x = 71,179.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.