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Finding the Fourth Proportional to 167,002.71, 230,488.36 and 105,754.49

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Solution

The fourth proportional to 167,002.71, 230,488.36 and 105,754.49 is: 145,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,002.71 : 230,488.36 = 105,754.49 : x
  2. Step 2: Convert to fraction form
    167,002.71/230,488.36 = 105,754.49/x
  3. Step 3: Cross multiply
    167,002.71x = 230,488.36 × 105,754.49
  4. Step 4: Simplify right side
    167,002.71x = 24,375,177,281.52
  5. Step 5: Solve for x
    x = 24,375,177,281.52/167,002.71
  6. Step 6: Final answer
    x = 145,956.78

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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.