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Finding the Fourth Proportional to 281,864.40, 422,207.80 and 132,232.40

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Solution

The fourth proportional to 281,864.40, 422,207.80 and 132,232.40 is: 198,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,864.40 : 422,207.80 = 132,232.40 : x
  2. Step 2: Convert to fraction form
    281,864.40/422,207.80 = 132,232.40/x
  3. Step 3: Cross multiply
    281,864.40x = 422,207.80 × 132,232.40
  4. Step 4: Simplify right side
    281,864.40x = 55,829,550,692.72
  5. Step 5: Solve for x
    x = 55,829,550,692.72/281,864.40
  6. Step 6: Final answer
    x = 198,072.37

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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.