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Finding the Fourth Proportional to 240,082.25, 360,220.20 and 106,871.40

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Solution

The fourth proportional to 240,082.25, 360,220.20 and 106,871.40 is: 160,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,082.25 : 360,220.20 = 106,871.40 : x
  2. Step 2: Convert to fraction form
    240,082.25/360,220.20 = 106,871.40/x
  3. Step 3: Cross multiply
    240,082.25x = 360,220.20 × 106,871.40
  4. Step 4: Simplify right side
    240,082.25x = 38,497,237,132.38
  5. Step 5: Solve for x
    x = 38,497,237,132.38/240,082.25
  6. Step 6: Final answer
    x = 160,350.20

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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.