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Finding the Fourth Proportional to 214,648.41, 321,972.62 and 74,407.04

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Solution

The fourth proportional to 214,648.41, 321,972.62 and 74,407.04 is: 111,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,648.41 : 321,972.62 = 74,407.04 : x
  2. Step 2: Convert to fraction form
    214,648.41/321,972.62 = 74,407.04/x
  3. Step 3: Cross multiply
    214,648.41x = 321,972.62 × 74,407.04
  4. Step 4: Simplify right side
    214,648.41x = 23,957,027,633.35
  5. Step 5: Solve for x
    x = 23,957,027,633.35/214,648.41
  6. Step 6: Final answer
    x = 111,610.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.