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Finding the Fourth Proportional to 83,354.12, 115,082.34 and 74,386.22

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Solution

The fourth proportional to 83,354.12, 115,082.34 and 74,386.22 is: 102,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354.12 : 115,082.34 = 74,386.22 : x
  2. Step 2: Convert to fraction form
    83,354.12/115,082.34 = 74,386.22/x
  3. Step 3: Cross multiply
    83,354.12x = 115,082.34 × 74,386.22
  4. Step 4: Simplify right side
    83,354.12x = 8,560,540,261.35
  5. Step 5: Solve for x
    x = 8,560,540,261.35/83,354.12
  6. Step 6: Final answer
    x = 102,700.87

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