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Finding the Fourth Proportional to 252,189.26, 378,296.85 and 65,202.38

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Solution

The fourth proportional to 252,189.26, 378,296.85 and 65,202.38 is: 97,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,189.26 : 378,296.85 = 65,202.38 : x
  2. Step 2: Convert to fraction form
    252,189.26/378,296.85 = 65,202.38/x
  3. Step 3: Cross multiply
    252,189.26x = 378,296.85 × 65,202.38
  4. Step 4: Simplify right side
    252,189.26x = 24,665,854,966.50
  5. Step 5: Solve for x
    x = 24,665,854,966.50/252,189.26
  6. Step 6: Final answer
    x = 97,806.92

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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.