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Finding the Fourth Proportional to 109,871.80, 164,807.70 and 82,223.80

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Solution

The fourth proportional to 109,871.80, 164,807.70 and 82,223.80 is: 123,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.80 : 164,807.70 = 82,223.80 : x
  2. Step 2: Convert to fraction form
    109,871.80/164,807.70 = 82,223.80/x
  3. Step 3: Cross multiply
    109,871.80x = 164,807.70 × 82,223.80
  4. Step 4: Simplify right side
    109,871.80x = 13,551,115,363.26
  5. Step 5: Solve for x
    x = 13,551,115,363.26/109,871.80
  6. Step 6: Final answer
    x = 123,335.70

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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.