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Finding the Fourth Proportional to 95,184, 131,172.84 and 69,698.16

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Solution

The fourth proportional to 95,184, 131,172.84 and 69,698.16 is: 96,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,184 : 131,172.84 = 69,698.16 : x
  2. Step 2: Convert to fraction form
    95,184/131,172.84 = 69,698.16/x
  3. Step 3: Cross multiply
    95,184x = 131,172.84 × 69,698.16
  4. Step 4: Simplify right side
    95,184x = 9,142,505,589.97
  5. Step 5: Solve for x
    x = 9,142,505,589.97/95,184
  6. Step 6: Final answer
    x = 96,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.