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Finding the Fourth Proportional to 222,812.82, 334,115.55 and 82,533.78

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Solution

The fourth proportional to 222,812.82, 334,115.55 and 82,533.78 is: 123,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,812.82 : 334,115.55 = 82,533.78 : x
  2. Step 2: Convert to fraction form
    222,812.82/334,115.55 = 82,533.78/x
  3. Step 3: Cross multiply
    222,812.82x = 334,115.55 × 82,533.78
  4. Step 4: Simplify right side
    222,812.82x = 27,575,819,298.28
  5. Step 5: Solve for x
    x = 27,575,819,298.28/222,812.82
  6. Step 6: Final answer
    x = 123,762.27

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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.