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Finding the Fourth Proportional to 214,532.80, 321,371.52 and 167,565.76

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Solution

The fourth proportional to 214,532.80, 321,371.52 and 167,565.76 is: 251,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532.80 : 321,371.52 = 167,565.76 : x
  2. Step 2: Convert to fraction form
    214,532.80/321,371.52 = 167,565.76/x
  3. Step 3: Cross multiply
    214,532.80x = 321,371.52 × 167,565.76
  4. Step 4: Simplify right side
    214,532.80x = 53,850,862,991.16
  5. Step 5: Solve for x
    x = 53,850,862,991.16/214,532.80
  6. Step 6: Final answer
    x = 251,014.59

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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.