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Finding the Fourth Proportional to 267,681.97, 369,400.13 and 165,687.12

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Solution

The fourth proportional to 267,681.97, 369,400.13 and 165,687.12 is: 228,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,681.97 : 369,400.13 = 165,687.12 : x
  2. Step 2: Convert to fraction form
    267,681.97/369,400.13 = 165,687.12/x
  3. Step 3: Cross multiply
    267,681.97x = 369,400.13 × 165,687.12
  4. Step 4: Simplify right side
    267,681.97x = 61,204,842,838.89
  5. Step 5: Solve for x
    x = 61,204,842,838.89/267,681.97
  6. Step 6: Final answer
    x = 228,647.61

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1.5x scale

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.