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Finding the Fourth Proportional to 226,015.20, 338,806.80 and 83,822.40

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Solution

The fourth proportional to 226,015.20, 338,806.80 and 83,822.40 is: 125,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,015.20 : 338,806.80 = 83,822.40 : x
  2. Step 2: Convert to fraction form
    226,015.20/338,806.80 = 83,822.40/x
  3. Step 3: Cross multiply
    226,015.20x = 338,806.80 × 83,822.40
  4. Step 4: Simplify right side
    226,015.20x = 28,399,599,112.32
  5. Step 5: Solve for x
    x = 28,399,599,112.32/226,015.20
  6. Step 6: Final answer
    x = 125,653.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.