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Finding the Fourth Proportional to 254,282.78, 350,912.31 and 141,107.42

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Solution

The fourth proportional to 254,282.78, 350,912.31 and 141,107.42 is: 194,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,282.78 : 350,912.31 = 141,107.42 : x
  2. Step 2: Convert to fraction form
    254,282.78/350,912.31 = 141,107.42/x
  3. Step 3: Cross multiply
    254,282.78x = 350,912.31 × 141,107.42
  4. Step 4: Simplify right side
    254,282.78x = 49,516,330,710.34
  5. Step 5: Solve for x
    x = 49,516,330,710.34/254,282.78
  6. Step 6: Final answer
    x = 194,729.39

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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.