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Finding the Fourth Proportional to 109,959.80, 164,939.70 and 81,966.20

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Solution

The fourth proportional to 109,959.80, 164,939.70 and 81,966.20 is: 122,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959.80 : 164,939.70 = 81,966.20 : x
  2. Step 2: Convert to fraction form
    109,959.80/164,939.70 = 81,966.20/x
  3. Step 3: Cross multiply
    109,959.80x = 164,939.70 × 81,966.20
  4. Step 4: Simplify right side
    109,959.80x = 13,519,480,438.14
  5. Step 5: Solve for x
    x = 13,519,480,438.14/109,959.80
  6. Step 6: Final answer
    x = 122,949.30

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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.