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Finding the Fourth Proportional to 195,707.92, 293,469.36 and 75,821.04

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Solution

The fourth proportional to 195,707.92, 293,469.36 and 75,821.04 is: 113,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,707.92 : 293,469.36 = 75,821.04 : x
  2. Step 2: Convert to fraction form
    195,707.92/293,469.36 = 75,821.04/x
  3. Step 3: Cross multiply
    195,707.92x = 293,469.36 × 75,821.04
  4. Step 4: Simplify right side
    195,707.92x = 22,251,152,083.33
  5. Step 5: Solve for x
    x = 22,251,152,083.33/195,707.92
  6. Step 6: Final answer
    x = 113,695.72

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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.