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Finding the Fourth Proportional to 345,007.08, 476,109 and 194,104.08

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Solution

The fourth proportional to 345,007.08, 476,109 and 194,104.08 is: 267,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,007.08 : 476,109 = 194,104.08 : x
  2. Step 2: Convert to fraction form
    345,007.08/476,109 = 194,104.08/x
  3. Step 3: Cross multiply
    345,007.08x = 476,109 × 194,104.08
  4. Step 4: Simplify right side
    345,007.08x = 92,414,699,424.72
  5. Step 5: Solve for x
    x = 92,414,699,424.72/345,007.08
  6. Step 6: Final answer
    x = 267,863.20

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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.