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Finding the Fourth Proportional to 200,912.76, 277,260.12 and 110,269.44

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Solution

The fourth proportional to 200,912.76, 277,260.12 and 110,269.44 is: 152,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,912.76 : 277,260.12 = 110,269.44 : x
  2. Step 2: Convert to fraction form
    200,912.76/277,260.12 = 110,269.44/x
  3. Step 3: Cross multiply
    200,912.76x = 277,260.12 × 110,269.44
  4. Step 4: Simplify right side
    200,912.76x = 30,573,318,166.73
  5. Step 5: Solve for x
    x = 30,573,318,166.73/200,912.76
  6. Step 6: Final answer
    x = 152,172.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.