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Finding the Fourth Proportional to 222,144.59, 333,235.84 and 78,037.82

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Solution

The fourth proportional to 222,144.59, 333,235.84 and 78,037.82 is: 117,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,144.59 : 333,235.84 = 78,037.82 : x
  2. Step 2: Convert to fraction form
    222,144.59/333,235.84 = 78,037.82/x
  3. Step 3: Cross multiply
    222,144.59x = 333,235.84 × 78,037.82
  4. Step 4: Simplify right side
    222,144.59x = 26,004,998,380.80
  5. Step 5: Solve for x
    x = 26,004,998,380.80/222,144.59
  6. Step 6: Final answer
    x = 117,063.39

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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.