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Finding the Fourth Proportional to 96,139.78, 144,300.12 and 48,788.86

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Solution

The fourth proportional to 96,139.78, 144,300.12 and 48,788.86 is: 73,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139.78 : 144,300.12 = 48,788.86 : x
  2. Step 2: Convert to fraction form
    96,139.78/144,300.12 = 48,788.86/x
  3. Step 3: Cross multiply
    96,139.78x = 144,300.12 × 48,788.86
  4. Step 4: Simplify right side
    96,139.78x = 7,040,238,352.66
  5. Step 5: Solve for x
    x = 7,040,238,352.66/96,139.78
  6. Step 6: Final answer
    x = 73,229.19

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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.