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Finding the Fourth Proportional to 144,082, 198,856.20 and 84,466

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Solution

The fourth proportional to 144,082, 198,856.20 and 84,466 is: 116,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082 : 198,856.20 = 84,466 : x
  2. Step 2: Convert to fraction form
    144,082/198,856.20 = 84,466/x
  3. Step 3: Cross multiply
    144,082x = 198,856.20 × 84,466
  4. Step 4: Simplify right side
    144,082x = 16,796,587,789.20
  5. Step 5: Solve for x
    x = 16,796,587,789.20/144,082
  6. Step 6: Final answer
    x = 116,576.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.