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Finding the Fourth Proportional to 265,294.82, 397,692.08 and 132,049.12

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Solution

The fourth proportional to 265,294.82, 397,692.08 and 132,049.12 is: 197,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,294.82 : 397,692.08 = 132,049.12 : x
  2. Step 2: Convert to fraction form
    265,294.82/397,692.08 = 132,049.12/x
  3. Step 3: Cross multiply
    265,294.82x = 397,692.08 × 132,049.12
  4. Step 4: Simplify right side
    265,294.82x = 52,514,889,194.97
  5. Step 5: Solve for x
    x = 52,514,889,194.97/265,294.82
  6. Step 6: Final answer
    x = 197,949.17

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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.