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Finding the Fourth Proportional to 222,596.64, 333,722.40 and 110,199.36

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Solution

The fourth proportional to 222,596.64, 333,722.40 and 110,199.36 is: 165,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,596.64 : 333,722.40 = 110,199.36 : x
  2. Step 2: Convert to fraction form
    222,596.64/333,722.40 = 110,199.36/x
  3. Step 3: Cross multiply
    222,596.64x = 333,722.40 × 110,199.36
  4. Step 4: Simplify right side
    222,596.64x = 36,775,994,897.66
  5. Step 5: Solve for x
    x = 36,775,994,897.66/222,596.64
  6. Step 6: Final answer
    x = 165,213.61

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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.