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Finding the Fourth Proportional to 222,566.80, 333,616.88 and 82,235.92

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Solution

The fourth proportional to 222,566.80, 333,616.88 and 82,235.92 is: 123,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,566.80 : 333,616.88 = 82,235.92 : x
  2. Step 2: Convert to fraction form
    222,566.80/333,616.88 = 82,235.92/x
  3. Step 3: Cross multiply
    222,566.80x = 333,616.88 × 82,235.92
  4. Step 4: Simplify right side
    222,566.80x = 27,435,291,054.33
  5. Step 5: Solve for x
    x = 27,435,291,054.33/222,566.80
  6. Step 6: Final answer
    x = 123,267.67

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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.