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Finding the Fourth Proportional to 222,648.98, 333,978.33 and 133,976.66

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Solution

The fourth proportional to 222,648.98, 333,978.33 and 133,976.66 is: 200,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,648.98 : 333,978.33 = 133,976.66 : x
  2. Step 2: Convert to fraction form
    222,648.98/333,978.33 = 133,976.66/x
  3. Step 3: Cross multiply
    222,648.98x = 333,978.33 × 133,976.66
  4. Step 4: Simplify right side
    222,648.98x = 44,745,301,165.78
  5. Step 5: Solve for x
    x = 44,745,301,165.78/222,648.98
  6. Step 6: Final answer
    x = 200,967.91

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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.