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Finding the Fourth Proportional to 110,469.06, 152,398.80 and 74,646

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Solution

The fourth proportional to 110,469.06, 152,398.80 and 74,646 is: 102,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,469.06 : 152,398.80 = 74,646 : x
  2. Step 2: Convert to fraction form
    110,469.06/152,398.80 = 74,646/x
  3. Step 3: Cross multiply
    110,469.06x = 152,398.80 × 74,646
  4. Step 4: Simplify right side
    110,469.06x = 11,375,960,824.80
  5. Step 5: Solve for x
    x = 11,375,960,824.80/110,469.06
  6. Step 6: Final answer
    x = 102,978.71

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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.