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Finding the Fourth Proportional to 274,918.38, 379,381.13 and 160,189.88

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Solution

The fourth proportional to 274,918.38, 379,381.13 and 160,189.88 is: 221,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,918.38 : 379,381.13 = 160,189.88 : x
  2. Step 2: Convert to fraction form
    274,918.38/379,381.13 = 160,189.88/x
  3. Step 3: Cross multiply
    274,918.38x = 379,381.13 × 160,189.88
  4. Step 4: Simplify right side
    274,918.38x = 60,773,015,591.82
  5. Step 5: Solve for x
    x = 60,773,015,591.82/274,918.38
  6. Step 6: Final answer
    x = 221,058.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.