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Finding the Fourth Proportional to 109,470.80, 164,206.20 and 81,822.80

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Solution

The fourth proportional to 109,470.80, 164,206.20 and 81,822.80 is: 122,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470.80 : 164,206.20 = 81,822.80 : x
  2. Step 2: Convert to fraction form
    109,470.80/164,206.20 = 81,822.80/x
  3. Step 3: Cross multiply
    109,470.80x = 164,206.20 × 81,822.80
  4. Step 4: Simplify right side
    109,470.80x = 13,435,811,061.36
  5. Step 5: Solve for x
    x = 13,435,811,061.36/109,470.80
  6. Step 6: Final answer
    x = 122,734.20

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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.