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Finding the Fourth Proportional to 218,969.10, 328,540.05 and 85,826.70

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Solution

The fourth proportional to 218,969.10, 328,540.05 and 85,826.70 is: 128,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.10 : 328,540.05 = 85,826.70 : x
  2. Step 2: Convert to fraction form
    218,969.10/328,540.05 = 85,826.70/x
  3. Step 3: Cross multiply
    218,969.10x = 328,540.05 × 85,826.70
  4. Step 4: Simplify right side
    218,969.10x = 28,197,508,309.34
  5. Step 5: Solve for x
    x = 28,197,508,309.34/218,969.10
  6. Step 6: Final answer
    x = 128,773.92

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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.