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Finding the Fourth Proportional to 331,465.95, 496,866 and 106,661.16

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Solution

The fourth proportional to 331,465.95, 496,866 and 106,661.16 is: 159,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,465.95 : 496,866 = 106,661.16 : x
  2. Step 2: Convert to fraction form
    331,465.95/496,866 = 106,661.16/x
  3. Step 3: Cross multiply
    331,465.95x = 496,866 × 106,661.16
  4. Step 4: Simplify right side
    331,465.95x = 52,996,303,924.56
  5. Step 5: Solve for x
    x = 52,996,303,924.56/331,465.95
  6. Step 6: Final answer
    x = 159,884.61

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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.