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Finding the Fourth Proportional to 92,846.66, 138,961.92 and 84,545.78

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Solution

The fourth proportional to 92,846.66, 138,961.92 and 84,545.78 is: 126,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,846.66 : 138,961.92 = 84,545.78 : x
  2. Step 2: Convert to fraction form
    92,846.66/138,961.92 = 84,545.78/x
  3. Step 3: Cross multiply
    92,846.66x = 138,961.92 × 84,545.78
  4. Step 4: Simplify right side
    92,846.66x = 11,748,643,916.70
  5. Step 5: Solve for x
    x = 11,748,643,916.70/92,846.66
  6. Step 6: Final answer
    x = 126,538.14

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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.