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Finding the Fourth Proportional to 214,425.40, 321,791.70 and 89,855.80

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Solution

The fourth proportional to 214,425.40, 321,791.70 and 89,855.80 is: 134,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,425.40 : 321,791.70 = 89,855.80 : x
  2. Step 2: Convert to fraction form
    214,425.40/321,791.70 = 89,855.80/x
  3. Step 3: Cross multiply
    214,425.40x = 321,791.70 × 89,855.80
  4. Step 4: Simplify right side
    214,425.40x = 28,914,850,636.86
  5. Step 5: Solve for x
    x = 28,914,850,636.86/214,425.40
  6. Step 6: Final answer
    x = 134,848.07

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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.