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Finding the Fourth Proportional to 96,462.72, 144,717.75 and 77,910.87

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Solution

The fourth proportional to 96,462.72, 144,717.75 and 77,910.87 is: 116,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,462.72 : 144,717.75 = 77,910.87 : x
  2. Step 2: Convert to fraction form
    96,462.72/144,717.75 = 77,910.87/x
  3. Step 3: Cross multiply
    96,462.72x = 144,717.75 × 77,910.87
  4. Step 4: Simplify right side
    96,462.72x = 11,275,085,806.94
  5. Step 5: Solve for x
    x = 11,275,085,806.94/96,462.72
  6. Step 6: Final answer
    x = 116,885.42

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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.