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Finding the Fourth Proportional to 267,849.38, 369,643.70 and 160,398.83

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Solution

The fourth proportional to 267,849.38, 369,643.70 and 160,398.83 is: 221,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,849.38 : 369,643.70 = 160,398.83 : x
  2. Step 2: Convert to fraction form
    267,849.38/369,643.70 = 160,398.83/x
  3. Step 3: Cross multiply
    267,849.38x = 369,643.70 × 160,398.83
  4. Step 4: Simplify right side
    267,849.38x = 59,290,418,321.98
  5. Step 5: Solve for x
    x = 59,290,418,321.98/267,849.38
  6. Step 6: Final answer
    x = 221,357.31

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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.