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Finding the Fourth Proportional to 95,269.42, 142,874.92 and 65,876.14

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Solution

The fourth proportional to 95,269.42, 142,874.92 and 65,876.14 is: 98,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,269.42 : 142,874.92 = 65,876.14 : x
  2. Step 2: Convert to fraction form
    95,269.42/142,874.92 = 65,876.14/x
  3. Step 3: Cross multiply
    95,269.42x = 142,874.92 × 65,876.14
  4. Step 4: Simplify right side
    95,269.42x = 9,412,048,232.41
  5. Step 5: Solve for x
    x = 9,412,048,232.41/95,269.42
  6. Step 6: Final answer
    x = 98,794.01

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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.