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Finding the Fourth Proportional to 138,640.02, 207,960.12 and 33,459

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Solution

The fourth proportional to 138,640.02, 207,960.12 and 33,459 is: 50,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.02 : 207,960.12 = 33,459 : x
  2. Step 2: Convert to fraction form
    138,640.02/207,960.12 = 33,459/x
  3. Step 3: Cross multiply
    138,640.02x = 207,960.12 × 33,459
  4. Step 4: Simplify right side
    138,640.02x = 6,958,137,655.08
  5. Step 5: Solve for x
    x = 6,958,137,655.08/138,640.02
  6. Step 6: Final answer
    x = 50,188.52

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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.