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Finding the Fourth Proportional to 140,097.50, 209,961.09 and 51,265.47

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Solution

The fourth proportional to 140,097.50, 209,961.09 and 51,265.47 is: 76,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,097.50 : 209,961.09 = 51,265.47 : x
  2. Step 2: Convert to fraction form
    140,097.50/209,961.09 = 51,265.47/x
  3. Step 3: Cross multiply
    140,097.50x = 209,961.09 × 51,265.47
  4. Step 4: Simplify right side
    140,097.50x = 10,763,753,960.56
  5. Step 5: Solve for x
    x = 10,763,753,960.56/140,097.50
  6. Step 6: Final answer
    x = 76,830.45

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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.