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Finding the Fourth Proportional to 299,433.65, 449,172.57 and 86,192.95

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Solution

The fourth proportional to 299,433.65, 449,172.57 and 86,192.95 is: 129,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433.65 : 449,172.57 = 86,192.95 : x
  2. Step 2: Convert to fraction form
    299,433.65/449,172.57 = 86,192.95/x
  3. Step 3: Cross multiply
    299,433.65x = 449,172.57 × 86,192.95
  4. Step 4: Simplify right side
    299,433.65x = 38,715,508,867.38
  5. Step 5: Solve for x
    x = 38,715,508,867.38/299,433.65
  6. Step 6: Final answer
    x = 129,295.79

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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.