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Finding the Fourth Proportional to 331,171, 496,803.22 and 106,456.12

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Solution

The fourth proportional to 331,171, 496,803.22 and 106,456.12 is: 159,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,171 : 496,803.22 = 106,456.12 : x
  2. Step 2: Convert to fraction form
    331,171/496,803.22 = 106,456.12/x
  3. Step 3: Cross multiply
    331,171x = 496,803.22 × 106,456.12
  4. Step 4: Simplify right side
    331,171x = 52,887,743,204.71
  5. Step 5: Solve for x
    x = 52,887,743,204.71/331,171
  6. Step 6: Final answer
    x = 159,699.20

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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.