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Finding the Fourth Proportional to 222,104.93, 333,057.24 and 109,741.32

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Solution

The fourth proportional to 222,104.93, 333,057.24 and 109,741.32 is: 164,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,104.93 : 333,057.24 = 109,741.32 : x
  2. Step 2: Convert to fraction form
    222,104.93/333,057.24 = 109,741.32/x
  3. Step 3: Cross multiply
    222,104.93x = 333,057.24 × 109,741.32
  4. Step 4: Simplify right side
    222,104.93x = 36,550,141,153.16
  5. Step 5: Solve for x
    x = 36,550,141,153.16/222,104.93
  6. Step 6: Final answer
    x = 164,562.50

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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.