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Finding the Fourth Proportional to 214,632.62, 321,951.15 and 64,874.15

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Solution

The fourth proportional to 214,632.62, 321,951.15 and 64,874.15 is: 97,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632.62 : 321,951.15 = 64,874.15 : x
  2. Step 2: Convert to fraction form
    214,632.62/321,951.15 = 64,874.15/x
  3. Step 3: Cross multiply
    214,632.62x = 321,951.15 × 64,874.15
  4. Step 4: Simplify right side
    214,632.62x = 20,886,305,588.02
  5. Step 5: Solve for x
    x = 20,886,305,588.02/214,632.62
  6. Step 6: Final answer
    x = 97,311.89

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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.