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Finding the Fourth Proportional to 262,147.49, 392,375.46 and 135,613.49

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Solution

The fourth proportional to 262,147.49, 392,375.46 and 135,613.49 is: 202,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,147.49 : 392,375.46 = 135,613.49 : x
  2. Step 2: Convert to fraction form
    262,147.49/392,375.46 = 135,613.49/x
  3. Step 3: Cross multiply
    262,147.49x = 392,375.46 × 135,613.49
  4. Step 4: Simplify right side
    262,147.49x = 53,211,403,559.08
  5. Step 5: Solve for x
    x = 53,211,403,559.08/262,147.49
  6. Step 6: Final answer
    x = 202,982.70

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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.