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Finding the Fourth Proportional to 180,082.98, 269,936.75 and 67,685.76

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Solution

The fourth proportional to 180,082.98, 269,936.75 and 67,685.76 is: 101,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,082.98 : 269,936.75 = 67,685.76 : x
  2. Step 2: Convert to fraction form
    180,082.98/269,936.75 = 67,685.76/x
  3. Step 3: Cross multiply
    180,082.98x = 269,936.75 × 67,685.76
  4. Step 4: Simplify right side
    180,082.98x = 18,270,872,387.57
  5. Step 5: Solve for x
    x = 18,270,872,387.57/180,082.98
  6. Step 6: Final answer
    x = 101,458.08

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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.