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Finding the Fourth Proportional to 193,912.20, 290,868.30 and 191,147.40

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Solution

The fourth proportional to 193,912.20, 290,868.30 and 191,147.40 is: 286,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,912.20 : 290,868.30 = 191,147.40 : x
  2. Step 2: Convert to fraction form
    193,912.20/290,868.30 = 191,147.40/x
  3. Step 3: Cross multiply
    193,912.20x = 290,868.30 × 191,147.40
  4. Step 4: Simplify right side
    193,912.20x = 55,598,719,287.42
  5. Step 5: Solve for x
    x = 55,598,719,287.42/193,912.20
  6. Step 6: Final answer
    x = 286,721.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.