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Finding the Fourth Proportional to 267,571.68, 369,253.20 and 146,724

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Solution

The fourth proportional to 267,571.68, 369,253.20 and 146,724 is: 202,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,571.68 : 369,253.20 = 146,724 : x
  2. Step 2: Convert to fraction form
    267,571.68/369,253.20 = 146,724/x
  3. Step 3: Cross multiply
    267,571.68x = 369,253.20 × 146,724
  4. Step 4: Simplify right side
    267,571.68x = 54,178,306,516.80
  5. Step 5: Solve for x
    x = 54,178,306,516.80/267,571.68
  6. Step 6: Final answer
    x = 202,481.47

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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.