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Finding the Fourth Proportional to 193,101.95, 266,481.02 and 108,219.02

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Solution

The fourth proportional to 193,101.95, 266,481.02 and 108,219.02 is: 149,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,101.95 : 266,481.02 = 108,219.02 : x
  2. Step 2: Convert to fraction form
    193,101.95/266,481.02 = 108,219.02/x
  3. Step 3: Cross multiply
    193,101.95x = 266,481.02 × 108,219.02
  4. Step 4: Simplify right side
    193,101.95x = 28,838,313,771.14
  5. Step 5: Solve for x
    x = 28,838,313,771.14/193,101.95
  6. Step 6: Final answer
    x = 149,342.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.