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Finding the Fourth Proportional to 193,833.68, 290,750.52 and 106,834.64

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Solution

The fourth proportional to 193,833.68, 290,750.52 and 106,834.64 is: 160,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,833.68 : 290,750.52 = 106,834.64 : x
  2. Step 2: Convert to fraction form
    193,833.68/290,750.52 = 106,834.64/x
  3. Step 3: Cross multiply
    193,833.68x = 290,750.52 × 106,834.64
  4. Step 4: Simplify right side
    193,833.68x = 31,062,227,134.01
  5. Step 5: Solve for x
    x = 31,062,227,134.01/193,833.68
  6. Step 6: Final answer
    x = 160,251.96

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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.