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Finding the Fourth Proportional to 212,822.92, 319,232.46 and 81,494.92

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Solution

The fourth proportional to 212,822.92, 319,232.46 and 81,494.92 is: 122,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,822.92 : 319,232.46 = 81,494.92 : x
  2. Step 2: Convert to fraction form
    212,822.92/319,232.46 = 81,494.92/x
  3. Step 3: Cross multiply
    212,822.92x = 319,232.46 × 81,494.92
  4. Step 4: Simplify right side
    212,822.92x = 26,015,823,789.10
  5. Step 5: Solve for x
    x = 26,015,823,789.10/212,822.92
  6. Step 6: Final answer
    x = 122,241.64

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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.