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Finding the Fourth Proportional to 204,930, 307,415.50 and 62,773.63

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Solution

The fourth proportional to 204,930, 307,415.50 and 62,773.63 is: 94,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930 : 307,415.50 = 62,773.63 : x
  2. Step 2: Convert to fraction form
    204,930/307,415.50 = 62,773.63/x
  3. Step 3: Cross multiply
    204,930x = 307,415.50 × 62,773.63
  4. Step 4: Simplify right side
    204,930x = 19,297,586,853.27
  5. Step 5: Solve for x
    x = 19,297,586,853.27/204,930
  6. Step 6: Final answer
    x = 94,166.72

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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.