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Finding the Fourth Proportional to 222,865.83, 334,347.96 and 82,624.46

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Solution

The fourth proportional to 222,865.83, 334,347.96 and 82,624.46 is: 123,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,865.83 : 334,347.96 = 82,624.46 : x
  2. Step 2: Convert to fraction form
    222,865.83/334,347.96 = 82,624.46/x
  3. Step 3: Cross multiply
    222,865.83x = 334,347.96 × 82,624.46
  4. Step 4: Simplify right side
    222,865.83x = 27,625,317,975.36
  5. Step 5: Solve for x
    x = 27,625,317,975.36/222,865.83
  6. Step 6: Final answer
    x = 123,954.93

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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.