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Finding the Fourth Proportional to 214,611.93, 321,699.20 and 96,251.49

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Solution

The fourth proportional to 214,611.93, 321,699.20 and 96,251.49 is: 144,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,611.93 : 321,699.20 = 96,251.49 : x
  2. Step 2: Convert to fraction form
    214,611.93/321,699.20 = 96,251.49/x
  3. Step 3: Cross multiply
    214,611.93x = 321,699.20 × 96,251.49
  4. Step 4: Simplify right side
    214,611.93x = 30,964,026,850.55
  5. Step 5: Solve for x
    x = 30,964,026,850.55/214,611.93
  6. Step 6: Final answer
    x = 144,279.15

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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.