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Finding the Fourth Proportional to 331,263, 496,894.50 and 81,945

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Solution

The fourth proportional to 331,263, 496,894.50 and 81,945 is: 122,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,263 : 496,894.50 = 81,945 : x
  2. Step 2: Convert to fraction form
    331,263/496,894.50 = 81,945/x
  3. Step 3: Cross multiply
    331,263x = 496,894.50 × 81,945
  4. Step 4: Simplify right side
    331,263x = 40,718,019,802.50
  5. Step 5: Solve for x
    x = 40,718,019,802.50/331,263
  6. Step 6: Final answer
    x = 122,917.50

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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.