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Finding the Fourth Proportional to 217,082.31, 325,833.66 and 104,841.42

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Solution

The fourth proportional to 217,082.31, 325,833.66 and 104,841.42 is: 157,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,082.31 : 325,833.66 = 104,841.42 : x
  2. Step 2: Convert to fraction form
    217,082.31/325,833.66 = 104,841.42/x
  3. Step 3: Cross multiply
    217,082.31x = 325,833.66 × 104,841.42
  4. Step 4: Simplify right side
    217,082.31x = 34,160,863,598.20
  5. Step 5: Solve for x
    x = 34,160,863,598.20/217,082.31
  6. Step 6: Final answer
    x = 157,363.65

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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.