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Finding the Fourth Proportional to 195,699.56, 293,456.79 and 75,812.66

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Solution

The fourth proportional to 195,699.56, 293,456.79 and 75,812.66 is: 113,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,699.56 : 293,456.79 = 75,812.66 : x
  2. Step 2: Convert to fraction form
    195,699.56/293,456.79 = 75,812.66/x
  3. Step 3: Cross multiply
    195,699.56x = 293,456.79 × 75,812.66
  4. Step 4: Simplify right side
    195,699.56x = 22,247,738,377.68
  5. Step 5: Solve for x
    x = 22,247,738,377.68/195,699.56
  6. Step 6: Final answer
    x = 113,683.13

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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.