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Finding the Fourth Proportional to 193,189.84, 289,951.52 and 134,067.02

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Solution

The fourth proportional to 193,189.84, 289,951.52 and 134,067.02 is: 201,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,189.84 : 289,951.52 = 134,067.02 : x
  2. Step 2: Convert to fraction form
    193,189.84/289,951.52 = 134,067.02/x
  3. Step 3: Cross multiply
    193,189.84x = 289,951.52 × 134,067.02
  4. Step 4: Simplify right side
    193,189.84x = 38,872,934,110.78
  5. Step 5: Solve for x
    x = 38,872,934,110.78/193,189.84
  6. Step 6: Final answer
    x = 201,216.25

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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.