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Finding the Fourth Proportional to 281,692.75, 422,554.52 and 71,332.51

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Solution

The fourth proportional to 281,692.75, 422,554.52 and 71,332.51 is: 107,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,692.75 : 422,554.52 = 71,332.51 : x
  2. Step 2: Convert to fraction form
    281,692.75/422,554.52 = 71,332.51/x
  3. Step 3: Cross multiply
    281,692.75x = 422,554.52 × 71,332.51
  4. Step 4: Simplify right side
    281,692.75x = 30,141,874,523.45
  5. Step 5: Solve for x
    x = 30,141,874,523.45/281,692.75
  6. Step 6: Final answer
    x = 107,002.66

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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.