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Finding the Fourth Proportional to 267,661.92, 369,372.34 and 146,800

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Solution

The fourth proportional to 267,661.92, 369,372.34 and 146,800 is: 202,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,661.92 : 369,372.34 = 146,800 : x
  2. Step 2: Convert to fraction form
    267,661.92/369,372.34 = 146,800/x
  3. Step 3: Cross multiply
    267,661.92x = 369,372.34 × 146,800
  4. Step 4: Simplify right side
    267,661.92x = 54,223,859,512
  5. Step 5: Solve for x
    x = 54,223,859,512/267,661.92
  6. Step 6: Final answer
    x = 202,583.39

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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.