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Finding the Fourth Proportional to 193,034.88, 289,399.68 and 125,424

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Solution

The fourth proportional to 193,034.88, 289,399.68 and 125,424 is: 188,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,034.88 : 289,399.68 = 125,424 : x
  2. Step 2: Convert to fraction form
    193,034.88/289,399.68 = 125,424/x
  3. Step 3: Cross multiply
    193,034.88x = 289,399.68 × 125,424
  4. Step 4: Simplify right side
    193,034.88x = 36,297,665,464.32
  5. Step 5: Solve for x
    x = 36,297,665,464.32/193,034.88
  6. Step 6: Final answer
    x = 188,036.82

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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.