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Finding the Fourth Proportional to 214,817.61, 321,735.84 and 102,576.84

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Solution

The fourth proportional to 214,817.61, 321,735.84 and 102,576.84 is: 153,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,817.61 : 321,735.84 = 102,576.84 : x
  2. Step 2: Convert to fraction form
    214,817.61/321,735.84 = 102,576.84/x
  3. Step 3: Cross multiply
    214,817.61x = 321,735.84 × 102,576.84
  4. Step 4: Simplify right side
    214,817.61x = 33,002,645,781.95
  5. Step 5: Solve for x
    x = 33,002,645,781.95/214,817.61
  6. Step 6: Final answer
    x = 153,631.01

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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.