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Finding the Fourth Proportional to 109,487.96, 164,122.59 and 94,434.11

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Solution

The fourth proportional to 109,487.96, 164,122.59 and 94,434.11 is: 141,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,487.96 : 164,122.59 = 94,434.11 : x
  2. Step 2: Convert to fraction form
    109,487.96/164,122.59 = 94,434.11/x
  3. Step 3: Cross multiply
    109,487.96x = 164,122.59 × 94,434.11
  4. Step 4: Simplify right side
    109,487.96x = 15,498,770,717.54
  5. Step 5: Solve for x
    x = 15,498,770,717.54/109,487.96
  6. Step 6: Final answer
    x = 141,556.85

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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.