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Finding the Fourth Proportional to 227,778, 314,353.08 and 127,195.44

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Solution

The fourth proportional to 227,778, 314,353.08 and 127,195.44 is: 175,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,778 : 314,353.08 = 127,195.44 : x
  2. Step 2: Convert to fraction form
    227,778/314,353.08 = 127,195.44/x
  3. Step 3: Cross multiply
    227,778x = 314,353.08 × 127,195.44
  4. Step 4: Simplify right side
    227,778x = 39,984,278,325.96
  5. Step 5: Solve for x
    x = 39,984,278,325.96/227,778
  6. Step 6: Final answer
    x = 175,540.56

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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.