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Finding the Fourth Proportional to 267,717, 369,454.38 and 146,864.46

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Solution

The fourth proportional to 267,717, 369,454.38 and 146,864.46 is: 202,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,717 : 369,454.38 = 146,864.46 : x
  2. Step 2: Convert to fraction form
    267,717/369,454.38 = 146,864.46/x
  3. Step 3: Cross multiply
    267,717x = 369,454.38 × 146,864.46
  4. Step 4: Simplify right side
    267,717x = 54,259,718,013.33
  5. Step 5: Solve for x
    x = 54,259,718,013.33/267,717
  6. Step 6: Final answer
    x = 202,675.65

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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.