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Finding the Fourth Proportional to 214,424.96, 321,638.56 and 88,032.48

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Solution

The fourth proportional to 214,424.96, 321,638.56 and 88,032.48 is: 132,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,424.96 : 321,638.56 = 88,032.48 : x
  2. Step 2: Convert to fraction form
    214,424.96/321,638.56 = 88,032.48/x
  3. Step 3: Cross multiply
    214,424.96x = 321,638.56 × 88,032.48
  4. Step 4: Simplify right side
    214,424.96x = 28,314,640,100.43
  5. Step 5: Solve for x
    x = 28,314,640,100.43/214,424.96
  6. Step 6: Final answer
    x = 132,049.18

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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.