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Finding the Fourth Proportional to 109,871.80, 164,807.70 and 108,122.20

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Solution

The fourth proportional to 109,871.80, 164,807.70 and 108,122.20 is: 162,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.80 : 164,807.70 = 108,122.20 : x
  2. Step 2: Convert to fraction form
    109,871.80/164,807.70 = 108,122.20/x
  3. Step 3: Cross multiply
    109,871.80x = 164,807.70 × 108,122.20
  4. Step 4: Simplify right side
    109,871.80x = 17,819,371,100.94
  5. Step 5: Solve for x
    x = 17,819,371,100.94/109,871.80
  6. Step 6: Final answer
    x = 162,183.30

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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.