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Finding the Fourth Proportional to 214,500.53, 321,751.17 and 88,052.65

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Solution

The fourth proportional to 214,500.53, 321,751.17 and 88,052.65 is: 132,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,500.53 : 321,751.17 = 88,052.65 : x
  2. Step 2: Convert to fraction form
    214,500.53/321,751.17 = 88,052.65/x
  3. Step 3: Cross multiply
    214,500.53x = 321,751.17 × 88,052.65
  4. Step 4: Simplify right side
    214,500.53x = 28,331,042,354.72
  5. Step 5: Solve for x
    x = 28,331,042,354.72/214,500.53
  6. Step 6: Final answer
    x = 132,079.12

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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.