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Finding the Fourth Proportional to 267,886.48, 369,694.92 and 160,474

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Solution

The fourth proportional to 267,886.48, 369,694.92 and 160,474 is: 221,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,886.48 : 369,694.92 = 160,474 : x
  2. Step 2: Convert to fraction form
    267,886.48/369,694.92 = 160,474/x
  3. Step 3: Cross multiply
    267,886.48x = 369,694.92 × 160,474
  4. Step 4: Simplify right side
    267,886.48x = 59,326,422,592.08
  5. Step 5: Solve for x
    x = 59,326,422,592.08/267,886.48
  6. Step 6: Final answer
    x = 221,461.06

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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.