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Finding the Fourth Proportional to 215,447.80, 322,972.44 and 110,034.40

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Solution

The fourth proportional to 215,447.80, 322,972.44 and 110,034.40 is: 164,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,447.80 : 322,972.44 = 110,034.40 : x
  2. Step 2: Convert to fraction form
    215,447.80/322,972.44 = 110,034.40/x
  3. Step 3: Cross multiply
    215,447.80x = 322,972.44 × 110,034.40
  4. Step 4: Simplify right side
    215,447.80x = 35,538,078,651.94
  5. Step 5: Solve for x
    x = 35,538,078,651.94/215,447.80
  6. Step 6: Final answer
    x = 164,949.83

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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.