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Finding the Fourth Proportional to 199,198.95, 274,886.55 and 108,552.98

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Solution

The fourth proportional to 199,198.95, 274,886.55 and 108,552.98 is: 149,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,198.95 : 274,886.55 = 108,552.98 : x
  2. Step 2: Convert to fraction form
    199,198.95/274,886.55 = 108,552.98/x
  3. Step 3: Cross multiply
    199,198.95x = 274,886.55 × 108,552.98
  4. Step 4: Simplify right side
    199,198.95x = 29,839,754,164.42
  5. Step 5: Solve for x
    x = 29,839,754,164.42/199,198.95
  6. Step 6: Final answer
    x = 149,798.75

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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.