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Finding the Fourth Proportional to 193,241.20, 289,861.80 and 88,265.20

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Solution

The fourth proportional to 193,241.20, 289,861.80 and 88,265.20 is: 132,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,241.20 : 289,861.80 = 88,265.20 : x
  2. Step 2: Convert to fraction form
    193,241.20/289,861.80 = 88,265.20/x
  3. Step 3: Cross multiply
    193,241.20x = 289,861.80 × 88,265.20
  4. Step 4: Simplify right side
    193,241.20x = 25,584,709,749.36
  5. Step 5: Solve for x
    x = 25,584,709,749.36/193,241.20
  6. Step 6: Final answer
    x = 132,397.80

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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.