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Finding the Fourth Proportional to 222,929.88, 334,239.29 and 82,650.84

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Solution

The fourth proportional to 222,929.88, 334,239.29 and 82,650.84 is: 123,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,929.88 : 334,239.29 = 82,650.84 : x
  2. Step 2: Convert to fraction form
    222,929.88/334,239.29 = 82,650.84/x
  3. Step 3: Cross multiply
    222,929.88x = 334,239.29 × 82,650.84
  4. Step 4: Simplify right side
    222,929.88x = 27,625,157,666.25
  5. Step 5: Solve for x
    x = 27,625,157,666.25/222,929.88
  6. Step 6: Final answer
    x = 123,918.60

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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.