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Finding the Fourth Proportional to 95,236.80, 142,856.42 and 65,646.69

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Solution

The fourth proportional to 95,236.80, 142,856.42 and 65,646.69 is: 98,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,236.80 : 142,856.42 = 65,646.69 : x
  2. Step 2: Convert to fraction form
    95,236.80/142,856.42 = 65,646.69/x
  3. Step 3: Cross multiply
    95,236.80x = 142,856.42 × 65,646.69
  4. Step 4: Simplify right side
    95,236.80x = 9,378,050,790.02
  5. Step 5: Solve for x
    x = 9,378,050,790.02/95,236.80
  6. Step 6: Final answer
    x = 98,470.87

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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.