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Finding the Fourth Proportional to 263,227.40, 363,252.40 and 142,368.56

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Solution

The fourth proportional to 263,227.40, 363,252.40 and 142,368.56 is: 196,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,227.40 : 363,252.40 = 142,368.56 : x
  2. Step 2: Convert to fraction form
    263,227.40/363,252.40 = 142,368.56/x
  3. Step 3: Cross multiply
    263,227.40x = 363,252.40 × 142,368.56
  4. Step 4: Simplify right side
    263,227.40x = 51,715,721,104.54
  5. Step 5: Solve for x
    x = 51,715,721,104.54/263,227.40
  6. Step 6: Final answer
    x = 196,467.85

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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.