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Finding the Fourth Proportional to 95,756.91, 143,500.92 and 75,678.12

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Solution

The fourth proportional to 95,756.91, 143,500.92 and 75,678.12 is: 113,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,756.91 : 143,500.92 = 75,678.12 : x
  2. Step 2: Convert to fraction form
    95,756.91/143,500.92 = 75,678.12/x
  3. Step 3: Cross multiply
    95,756.91x = 143,500.92 × 75,678.12
  4. Step 4: Simplify right side
    95,756.91x = 10,859,879,843.87
  5. Step 5: Solve for x
    x = 10,859,879,843.87/95,756.91
  6. Step 6: Final answer
    x = 113,410.93

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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.