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Finding the Fourth Proportional to 96,162.76, 144,048.28 and 78,456.52

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Solution

The fourth proportional to 96,162.76, 144,048.28 and 78,456.52 is: 117,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162.76 : 144,048.28 = 78,456.52 : x
  2. Step 2: Convert to fraction form
    96,162.76/144,048.28 = 78,456.52/x
  3. Step 3: Cross multiply
    96,162.76x = 144,048.28 × 78,456.52
  4. Step 4: Simplify right side
    96,162.76x = 11,301,526,760.79
  5. Step 5: Solve for x
    x = 11,301,526,760.79/96,162.76
  6. Step 6: Final answer
    x = 117,524.98

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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.