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Finding the Fourth Proportional to 150,331, 207,463.38 and 83,263

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Solution

The fourth proportional to 150,331, 207,463.38 and 83,263 is: 114,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,331 : 207,463.38 = 83,263 : x
  2. Step 2: Convert to fraction form
    150,331/207,463.38 = 83,263/x
  3. Step 3: Cross multiply
    150,331x = 207,463.38 × 83,263
  4. Step 4: Simplify right side
    150,331x = 17,274,023,408.94
  5. Step 5: Solve for x
    x = 17,274,023,408.94/150,331
  6. Step 6: Final answer
    x = 114,906.60

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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.