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Finding the Fourth Proportional to 202,932.80, 304,399.20 and 187,726.40

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Solution

The fourth proportional to 202,932.80, 304,399.20 and 187,726.40 is: 281,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,932.80 : 304,399.20 = 187,726.40 : x
  2. Step 2: Convert to fraction form
    202,932.80/304,399.20 = 187,726.40/x
  3. Step 3: Cross multiply
    202,932.80x = 304,399.20 × 187,726.40
  4. Step 4: Simplify right side
    202,932.80x = 57,143,765,978.88
  5. Step 5: Solve for x
    x = 57,143,765,978.88/202,932.80
  6. Step 6: Final answer
    x = 281,589.60

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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.