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Finding the Fourth Proportional to 213,382.87, 294,471.44 and 117,891.76

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Solution

The fourth proportional to 213,382.87, 294,471.44 and 117,891.76 is: 162,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,382.87 : 294,471.44 = 117,891.76 : x
  2. Step 2: Convert to fraction form
    213,382.87/294,471.44 = 117,891.76/x
  3. Step 3: Cross multiply
    213,382.87x = 294,471.44 × 117,891.76
  4. Step 4: Simplify right side
    213,382.87x = 34,715,756,331.33
  5. Step 5: Solve for x
    x = 34,715,756,331.33/213,382.87
  6. Step 6: Final answer
    x = 162,692.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.