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Finding the Fourth Proportional to 200,714.22, 301,082.67 and 88,447.14

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Solution

The fourth proportional to 200,714.22, 301,082.67 and 88,447.14 is: 132,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.22 : 301,082.67 = 88,447.14 : x
  2. Step 2: Convert to fraction form
    200,714.22/301,082.67 = 88,447.14/x
  3. Step 3: Cross multiply
    200,714.22x = 301,082.67 × 88,447.14
  4. Step 4: Simplify right side
    200,714.22x = 26,629,901,065.06
  5. Step 5: Solve for x
    x = 26,629,901,065.06/200,714.22
  6. Step 6: Final answer
    x = 132,675.71

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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.