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Finding the Fourth Proportional to 133,917, 200,876.64 and 34,077.30

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Solution

The fourth proportional to 133,917, 200,876.64 and 34,077.30 is: 51,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,917 : 200,876.64 = 34,077.30 : x
  2. Step 2: Convert to fraction form
    133,917/200,876.64 = 34,077.30/x
  3. Step 3: Cross multiply
    133,917x = 200,876.64 × 34,077.30
  4. Step 4: Simplify right side
    133,917x = 6,845,333,524.27
  5. Step 5: Solve for x
    x = 6,845,333,524.27/133,917
  6. Step 6: Final answer
    x = 51,116.24

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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.