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Finding the Fourth Proportional to 95,230.64, 142,847.19 and 65,640.54

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Solution

The fourth proportional to 95,230.64, 142,847.19 and 65,640.54 is: 98,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,230.64 : 142,847.19 = 65,640.54 : x
  2. Step 2: Convert to fraction form
    95,230.64/142,847.19 = 65,640.54/x
  3. Step 3: Cross multiply
    95,230.64x = 142,847.19 × 65,640.54
  4. Step 4: Simplify right side
    95,230.64x = 9,376,566,689.08
  5. Step 5: Solve for x
    x = 9,376,566,689.08/95,230.64
  6. Step 6: Final answer
    x = 98,461.66

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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.