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Finding the Fourth Proportional to 144,082.32, 198,809.82 and 80,420.10

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Solution

The fourth proportional to 144,082.32, 198,809.82 and 80,420.10 is: 110,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082.32 : 198,809.82 = 80,420.10 : x
  2. Step 2: Convert to fraction form
    144,082.32/198,809.82 = 80,420.10/x
  3. Step 3: Cross multiply
    144,082.32x = 198,809.82 × 80,420.10
  4. Step 4: Simplify right side
    144,082.32x = 15,988,305,605.38
  5. Step 5: Solve for x
    x = 15,988,305,605.38/144,082.32
  6. Step 6: Final answer
    x = 110,966.46

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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.