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Finding the Fourth Proportional to 96,048.78, 144,123.93 and 68,149.14

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Solution

The fourth proportional to 96,048.78, 144,123.93 and 68,149.14 is: 102,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,048.78 : 144,123.93 = 68,149.14 : x
  2. Step 2: Convert to fraction form
    96,048.78/144,123.93 = 68,149.14/x
  3. Step 3: Cross multiply
    96,048.78x = 144,123.93 × 68,149.14
  4. Step 4: Simplify right side
    96,048.78x = 9,821,921,882.92
  5. Step 5: Solve for x
    x = 9,821,921,882.92/96,048.78
  6. Step 6: Final answer
    x = 102,259.73

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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.