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Finding the Fourth Proportional to 345,082.38, 476,201.23 and 192,116.64

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Solution

The fourth proportional to 345,082.38, 476,201.23 and 192,116.64 is: 265,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,082.38 : 476,201.23 = 192,116.64 : x
  2. Step 2: Convert to fraction form
    345,082.38/476,201.23 = 192,116.64/x
  3. Step 3: Cross multiply
    345,082.38x = 476,201.23 × 192,116.64
  4. Step 4: Simplify right side
    345,082.38x = 91,486,180,271.47
  5. Step 5: Solve for x
    x = 91,486,180,271.47/345,082.38
  6. Step 6: Final answer
    x = 265,114.03

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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.