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Finding the Fourth Proportional to 250,932.78, 346,294.17 and 142,028.46

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Solution

The fourth proportional to 250,932.78, 346,294.17 and 142,028.46 is: 196,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,932.78 : 346,294.17 = 142,028.46 : x
  2. Step 2: Convert to fraction form
    250,932.78/346,294.17 = 142,028.46/x
  3. Step 3: Cross multiply
    250,932.78x = 346,294.17 × 142,028.46
  4. Step 4: Simplify right side
    250,932.78x = 49,183,627,672.08
  5. Step 5: Solve for x
    x = 49,183,627,672.08/250,932.78
  6. Step 6: Final answer
    x = 196,003.20

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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.