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Finding the Fourth Proportional to 214,407, 321,610.50 and 146,872.44

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Solution

The fourth proportional to 214,407, 321,610.50 and 146,872.44 is: 220,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,407 : 321,610.50 = 146,872.44 : x
  2. Step 2: Convert to fraction form
    214,407/321,610.50 = 146,872.44/x
  3. Step 3: Cross multiply
    214,407x = 321,610.50 × 146,872.44
  4. Step 4: Simplify right side
    214,407x = 47,235,718,864.62
  5. Step 5: Solve for x
    x = 47,235,718,864.62/214,407
  6. Step 6: Final answer
    x = 220,308.66

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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.