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Finding the Fourth Proportional to 345,015.36, 476,116.32 and 194,112

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Solution

The fourth proportional to 345,015.36, 476,116.32 and 194,112 is: 267,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,015.36 : 476,116.32 = 194,112 : x
  2. Step 2: Convert to fraction form
    345,015.36/476,116.32 = 194,112/x
  3. Step 3: Cross multiply
    345,015.36x = 476,116.32 × 194,112
  4. Step 4: Simplify right side
    345,015.36x = 92,419,891,107.84
  5. Step 5: Solve for x
    x = 92,419,891,107.84/345,015.36
  6. Step 6: Final answer
    x = 267,871.82

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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.