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Finding the Fourth Proportional to 216,826.80, 325,240.20 and 164,338.80

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Solution

The fourth proportional to 216,826.80, 325,240.20 and 164,338.80 is: 246,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,826.80 : 325,240.20 = 164,338.80 : x
  2. Step 2: Convert to fraction form
    216,826.80/325,240.20 = 164,338.80/x
  3. Step 3: Cross multiply
    216,826.80x = 325,240.20 × 164,338.80
  4. Step 4: Simplify right side
    216,826.80x = 53,449,584,179.76
  5. Step 5: Solve for x
    x = 53,449,584,179.76/216,826.80
  6. Step 6: Final answer
    x = 246,508.20

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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.