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Finding the Fourth Proportional to 214,701.60, 321,663.60 and 181,264.80

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Solution

The fourth proportional to 214,701.60, 321,663.60 and 181,264.80 is: 271,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701.60 : 321,663.60 = 181,264.80 : x
  2. Step 2: Convert to fraction form
    214,701.60/321,663.60 = 181,264.80/x
  3. Step 3: Cross multiply
    214,701.60x = 321,663.60 × 181,264.80
  4. Step 4: Simplify right side
    214,701.60x = 58,306,288,121.28
  5. Step 5: Solve for x
    x = 58,306,288,121.28/214,701.60
  6. Step 6: Final answer
    x = 271,568.95

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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.