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Finding the Fourth Proportional to 109,294.48, 164,092.64 and 75,481.12

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Solution

The fourth proportional to 109,294.48, 164,092.64 and 75,481.12 is: 113,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,294.48 : 164,092.64 = 75,481.12 : x
  2. Step 2: Convert to fraction form
    109,294.48/164,092.64 = 75,481.12/x
  3. Step 3: Cross multiply
    109,294.48x = 164,092.64 × 75,481.12
  4. Step 4: Simplify right side
    109,294.48x = 12,385,896,250.96
  5. Step 5: Solve for x
    x = 12,385,896,250.96/109,294.48
  6. Step 6: Final answer
    x = 113,325.91

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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.