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Finding the Fourth Proportional to 203,264.32, 304,847.46 and 84,871.48

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Solution

The fourth proportional to 203,264.32, 304,847.46 and 84,871.48 is: 127,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,264.32 : 304,847.46 = 84,871.48 : x
  2. Step 2: Convert to fraction form
    203,264.32/304,847.46 = 84,871.48/x
  3. Step 3: Cross multiply
    203,264.32x = 304,847.46 × 84,871.48
  4. Step 4: Simplify right side
    203,264.32x = 25,872,855,104.44
  5. Step 5: Solve for x
    x = 25,872,855,104.44/203,264.32
  6. Step 6: Final answer
    x = 127,286.75

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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.