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Finding the Fourth Proportional to 200,855.52, 300,972.08 and 126,828

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Solution

The fourth proportional to 200,855.52, 300,972.08 and 126,828 is: 190,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.52 : 300,972.08 = 126,828 : x
  2. Step 2: Convert to fraction form
    200,855.52/300,972.08 = 126,828/x
  3. Step 3: Cross multiply
    200,855.52x = 300,972.08 × 126,828
  4. Step 4: Simplify right side
    200,855.52x = 38,171,686,962.24
  5. Step 5: Solve for x
    x = 38,171,686,962.24/200,855.52
  6. Step 6: Final answer
    x = 190,045.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.