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Finding the Fourth Proportional to 193,204, 266,530.80 and 136,646.56

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Solution

The fourth proportional to 193,204, 266,530.80 and 136,646.56 is: 188,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,204 : 266,530.80 = 136,646.56 : x
  2. Step 2: Convert to fraction form
    193,204/266,530.80 = 136,646.56/x
  3. Step 3: Cross multiply
    193,204x = 266,530.80 × 136,646.56
  4. Step 4: Simplify right side
    193,204x = 36,420,516,954.05
  5. Step 5: Solve for x
    x = 36,420,516,954.05/193,204
  6. Step 6: Final answer
    x = 188,508.09

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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.