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Finding the Fourth Proportional to 177,082.65, 244,378.76 and 100,599.21

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Solution

The fourth proportional to 177,082.65, 244,378.76 and 100,599.21 is: 138,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,082.65 : 244,378.76 = 100,599.21 : x
  2. Step 2: Convert to fraction form
    177,082.65/244,378.76 = 100,599.21/x
  3. Step 3: Cross multiply
    177,082.65x = 244,378.76 × 100,599.21
  4. Step 4: Simplify right side
    177,082.65x = 24,584,309,693.78
  5. Step 5: Solve for x
    x = 24,584,309,693.78/177,082.65
  6. Step 6: Final answer
    x = 138,829.58

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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.