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Finding the Fourth Proportional to 334,843.97, 502,262.89 and 135,022.85

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Solution

The fourth proportional to 334,843.97, 502,262.89 and 135,022.85 is: 202,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,843.97 : 502,262.89 = 135,022.85 : x
  2. Step 2: Convert to fraction form
    334,843.97/502,262.89 = 135,022.85/x
  3. Step 3: Cross multiply
    334,843.97x = 502,262.89 × 135,022.85
  4. Step 4: Simplify right side
    334,843.97x = 67,816,964,008.16
  5. Step 5: Solve for x
    x = 67,816,964,008.16/334,843.97
  6. Step 6: Final answer
    x = 202,533.03

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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.