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Finding the Fourth Proportional to 83,778.93, 115,576.38 and 74,228.56

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Solution

The fourth proportional to 83,778.93, 115,576.38 and 74,228.56 is: 102,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.93 : 115,576.38 = 74,228.56 : x
  2. Step 2: Convert to fraction form
    83,778.93/115,576.38 = 74,228.56/x
  3. Step 3: Cross multiply
    83,778.93x = 115,576.38 × 74,228.56
  4. Step 4: Simplify right side
    83,778.93x = 8,579,068,257.41
  5. Step 5: Solve for x
    x = 8,579,068,257.41/83,778.93
  6. Step 6: Final answer
    x = 102,401.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.