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Finding the Fourth Proportional to 214,638.57, 321,957.86 and 74,397.20

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Solution

The fourth proportional to 214,638.57, 321,957.86 and 74,397.20 is: 111,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.57 : 321,957.86 = 74,397.20 : x
  2. Step 2: Convert to fraction form
    214,638.57/321,957.86 = 74,397.20/x
  3. Step 3: Cross multiply
    214,638.57x = 321,957.86 × 74,397.20
  4. Step 4: Simplify right side
    214,638.57x = 23,952,761,320.22
  5. Step 5: Solve for x
    x = 23,952,761,320.22/214,638.57
  6. Step 6: Final answer
    x = 111,595.79

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