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Finding the Fourth Proportional to 95,225.16, 142,909.38 and 65,167.38

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Solution

The fourth proportional to 95,225.16, 142,909.38 and 65,167.38 is: 97,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,225.16 : 142,909.38 = 65,167.38 : x
  2. Step 2: Convert to fraction form
    95,225.16/142,909.38 = 65,167.38/x
  3. Step 3: Cross multiply
    95,225.16x = 142,909.38 × 65,167.38
  4. Step 4: Simplify right side
    95,225.16x = 9,313,029,872.02
  5. Step 5: Solve for x
    x = 9,313,029,872.02/95,225.16
  6. Step 6: Final answer
    x = 97,800.10

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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.