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Finding the Fourth Proportional to 267,823.44, 369,769.49 and 165,957

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Solution

The fourth proportional to 267,823.44, 369,769.49 and 165,957 is: 229,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,823.44 : 369,769.49 = 165,957 : x
  2. Step 2: Convert to fraction form
    267,823.44/369,769.49 = 165,957/x
  3. Step 3: Cross multiply
    267,823.44x = 369,769.49 × 165,957
  4. Step 4: Simplify right side
    267,823.44x = 61,365,835,251.93
  5. Step 5: Solve for x
    x = 61,365,835,251.93/267,823.44
  6. Step 6: Final answer
    x = 229,127.95

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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.