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Finding the Fourth Proportional to 137,744.38, 190,065.99 and 80,383.42

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Solution

The fourth proportional to 137,744.38, 190,065.99 and 80,383.42 is: 110,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744.38 : 190,065.99 = 80,383.42 : x
  2. Step 2: Convert to fraction form
    137,744.38/190,065.99 = 80,383.42/x
  3. Step 3: Cross multiply
    137,744.38x = 190,065.99 × 80,383.42
  4. Step 4: Simplify right side
    137,744.38x = 15,278,154,301.89
  5. Step 5: Solve for x
    x = 15,278,154,301.89/137,744.38
  6. Step 6: Final answer
    x = 110,916.72

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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.