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Finding the Fourth Proportional to 334,791.24, 502,187.70 and 82,072.86

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Solution

The fourth proportional to 334,791.24, 502,187.70 and 82,072.86 is: 123,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,791.24 : 502,187.70 = 82,072.86 : x
  2. Step 2: Convert to fraction form
    334,791.24/502,187.70 = 82,072.86/x
  3. Step 3: Cross multiply
    334,791.24x = 502,187.70 × 82,072.86
  4. Step 4: Simplify right side
    334,791.24x = 41,215,980,795.82
  5. Step 5: Solve for x
    x = 41,215,980,795.82/334,791.24
  6. Step 6: Final answer
    x = 123,109.50

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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.