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Finding the Fourth Proportional to 95,257.96, 142,857.77 and 65,864.68

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Solution

The fourth proportional to 95,257.96, 142,857.77 and 65,864.68 is: 98,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257.96 : 142,857.77 = 65,864.68 : x
  2. Step 2: Convert to fraction form
    95,257.96/142,857.77 = 65,864.68/x
  3. Step 3: Cross multiply
    95,257.96x = 142,857.77 × 65,864.68
  4. Step 4: Simplify right side
    95,257.96x = 9,409,280,620.10
  5. Step 5: Solve for x
    x = 9,409,280,620.10/95,257.96
  6. Step 6: Final answer
    x = 98,776.85

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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.