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Finding the Fourth Proportional to 197,198.50, 272,133.93 and 112,364.77

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Solution

The fourth proportional to 197,198.50, 272,133.93 and 112,364.77 is: 155,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,198.50 : 272,133.93 = 112,364.77 : x
  2. Step 2: Convert to fraction form
    197,198.50/272,133.93 = 112,364.77/x
  3. Step 3: Cross multiply
    197,198.50x = 272,133.93 × 112,364.77
  4. Step 4: Simplify right side
    197,198.50x = 30,578,266,453.65
  5. Step 5: Solve for x
    x = 30,578,266,453.65/197,198.50
  6. Step 6: Final answer
    x = 155,063.38

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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.