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Finding the Fourth Proportional to 222,598.60, 333,941.70 and 82,358.44

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Solution

The fourth proportional to 222,598.60, 333,941.70 and 82,358.44 is: 123,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,598.60 : 333,941.70 = 82,358.44 : x
  2. Step 2: Convert to fraction form
    222,598.60/333,941.70 = 82,358.44/x
  3. Step 3: Cross multiply
    222,598.60x = 333,941.70 × 82,358.44
  4. Step 4: Simplify right side
    222,598.60x = 27,502,917,462.95
  5. Step 5: Solve for x
    x = 27,502,917,462.95/222,598.60
  6. Step 6: Final answer
    x = 123,553.87

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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.