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Finding the Fourth Proportional to 218,986.20, 328,236.30 and 85,822.20

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Solution

The fourth proportional to 218,986.20, 328,236.30 and 85,822.20 is: 128,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,986.20 : 328,236.30 = 85,822.20 : x
  2. Step 2: Convert to fraction form
    218,986.20/328,236.30 = 85,822.20/x
  3. Step 3: Cross multiply
    218,986.20x = 328,236.30 × 85,822.20
  4. Step 4: Simplify right side
    218,986.20x = 28,169,961,385.86
  5. Step 5: Solve for x
    x = 28,169,961,385.86/218,986.20
  6. Step 6: Final answer
    x = 128,638.07

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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.