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Finding the Fourth Proportional to 164,711.70, 247,067.55 and 148,965.30

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Solution

The fourth proportional to 164,711.70, 247,067.55 and 148,965.30 is: 223,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,711.70 : 247,067.55 = 148,965.30 : x
  2. Step 2: Convert to fraction form
    164,711.70/247,067.55 = 148,965.30/x
  3. Step 3: Cross multiply
    164,711.70x = 247,067.55 × 148,965.30
  4. Step 4: Simplify right side
    164,711.70x = 36,804,491,706.02
  5. Step 5: Solve for x
    x = 36,804,491,706.02/164,711.70
  6. Step 6: Final answer
    x = 223,447.95

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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.