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Finding the Fourth Proportional to 198,069.84, 297,101.30 and 182,642.09

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Solution

The fourth proportional to 198,069.84, 297,101.30 and 182,642.09 is: 273,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,069.84 : 297,101.30 = 182,642.09 : x
  2. Step 2: Convert to fraction form
    198,069.84/297,101.30 = 182,642.09/x
  3. Step 3: Cross multiply
    198,069.84x = 297,101.30 × 182,642.09
  4. Step 4: Simplify right side
    198,069.84x = 54,263,199,975.00
  5. Step 5: Solve for x
    x = 54,263,199,975.00/198,069.84
  6. Step 6: Final answer
    x = 273,959.93

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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.