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Finding the Fourth Proportional to 287,846.56, 431,556.61 and 137,944.11

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Solution

The fourth proportional to 287,846.56, 431,556.61 and 137,944.11 is: 206,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,846.56 : 431,556.61 = 137,944.11 : x
  2. Step 2: Convert to fraction form
    287,846.56/431,556.61 = 137,944.11/x
  3. Step 3: Cross multiply
    287,846.56x = 431,556.61 × 137,944.11
  4. Step 4: Simplify right side
    287,846.56x = 59,530,694,013.19
  5. Step 5: Solve for x
    x = 59,530,694,013.19/287,846.56
  6. Step 6: Final answer
    x = 206,813.98

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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.