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Finding the Fourth Proportional to 193,446.30, 290,169.72 and 104,741.58

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Solution

The fourth proportional to 193,446.30, 290,169.72 and 104,741.58 is: 157,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,446.30 : 290,169.72 = 104,741.58 : x
  2. Step 2: Convert to fraction form
    193,446.30/290,169.72 = 104,741.58/x
  3. Step 3: Cross multiply
    193,446.30x = 290,169.72 × 104,741.58
  4. Step 4: Simplify right side
    193,446.30x = 30,392,834,940.96
  5. Step 5: Solve for x
    x = 30,392,834,940.96/193,446.30
  6. Step 6: Final answer
    x = 157,112.52

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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.