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Finding the Fourth Proportional to 206,915.69, 285,534.46 and 120,882.65

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Solution

The fourth proportional to 206,915.69, 285,534.46 and 120,882.65 is: 166,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,915.69 : 285,534.46 = 120,882.65 : x
  2. Step 2: Convert to fraction form
    206,915.69/285,534.46 = 120,882.65/x
  3. Step 3: Cross multiply
    206,915.69x = 285,534.46 × 120,882.65
  4. Step 4: Simplify right side
    206,915.69x = 34,516,161,586.71
  5. Step 5: Solve for x
    x = 34,516,161,586.71/206,915.69
  6. Step 6: Final answer
    x = 166,812.68

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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.