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Finding the Fourth Proportional to 110,104.20, 164,864.70 and 86,776.20

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Solution

The fourth proportional to 110,104.20, 164,864.70 and 86,776.20 is: 129,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,104.20 : 164,864.70 = 86,776.20 : x
  2. Step 2: Convert to fraction form
    110,104.20/164,864.70 = 86,776.20/x
  3. Step 3: Cross multiply
    110,104.20x = 164,864.70 × 86,776.20
  4. Step 4: Simplify right side
    110,104.20x = 14,306,332,180.14
  5. Step 5: Solve for x
    x = 14,306,332,180.14/110,104.20
  6. Step 6: Final answer
    x = 129,934.48

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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.