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Finding the Fourth Proportional to 214,872.76, 322,218.01 and 102,422.89

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Solution

The fourth proportional to 214,872.76, 322,218.01 and 102,422.89 is: 153,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,872.76 : 322,218.01 = 102,422.89 : x
  2. Step 2: Convert to fraction form
    214,872.76/322,218.01 = 102,422.89/x
  3. Step 3: Cross multiply
    214,872.76x = 322,218.01 × 102,422.89
  4. Step 4: Simplify right side
    214,872.76x = 33,002,499,794.25
  5. Step 5: Solve for x
    x = 33,002,499,794.25/214,872.76
  6. Step 6: Final answer
    x = 153,590.90

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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.