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Finding the Fourth Proportional to 283,395.12, 391,080.54 and 156,082.56

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Solution

The fourth proportional to 283,395.12, 391,080.54 and 156,082.56 is: 215,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,395.12 : 391,080.54 = 156,082.56 : x
  2. Step 2: Convert to fraction form
    283,395.12/391,080.54 = 156,082.56/x
  3. Step 3: Cross multiply
    283,395.12x = 391,080.54 × 156,082.56
  4. Step 4: Simplify right side
    283,395.12x = 61,040,851,849.38
  5. Step 5: Solve for x
    x = 61,040,851,849.38/283,395.12
  6. Step 6: Final answer
    x = 215,391.33

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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.