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Finding the Fourth Proportional to 214,040.70, 321,064.17 and 101,732.37

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Solution

The fourth proportional to 214,040.70, 321,064.17 and 101,732.37 is: 152,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,040.70 : 321,064.17 = 101,732.37 : x
  2. Step 2: Convert to fraction form
    214,040.70/321,064.17 = 101,732.37/x
  3. Step 3: Cross multiply
    214,040.70x = 321,064.17 × 101,732.37
  4. Step 4: Simplify right side
    214,040.70x = 32,662,618,936.18
  5. Step 5: Solve for x
    x = 32,662,618,936.18/214,040.70
  6. Step 6: Final answer
    x = 152,600.04

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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.