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Finding the Fourth Proportional to 196,251.40, 270,811.49 and 111,368.46

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Solution

The fourth proportional to 196,251.40, 270,811.49 and 111,368.46 is: 153,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,251.40 : 270,811.49 = 111,368.46 : x
  2. Step 2: Convert to fraction form
    196,251.40/270,811.49 = 111,368.46/x
  3. Step 3: Cross multiply
    196,251.40x = 270,811.49 × 111,368.46
  4. Step 4: Simplify right side
    196,251.40x = 30,159,858,591.61
  5. Step 5: Solve for x
    x = 30,159,858,591.61/196,251.40
  6. Step 6: Final answer
    x = 153,679.71

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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.