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Finding the Fourth Proportional to 214,519.82, 321,780.81 and 88,228.94

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Solution

The fourth proportional to 214,519.82, 321,780.81 and 88,228.94 is: 132,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,519.82 : 321,780.81 = 88,228.94 : x
  2. Step 2: Convert to fraction form
    214,519.82/321,780.81 = 88,228.94/x
  3. Step 3: Cross multiply
    214,519.82x = 321,780.81 × 88,228.94
  4. Step 4: Simplify right side
    214,519.82x = 28,390,379,778.64
  5. Step 5: Solve for x
    x = 28,390,379,778.64/214,519.82
  6. Step 6: Final answer
    x = 132,343.85

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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.