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Finding the Fourth Proportional to 204,804, 307,257.84 and 57,060

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Solution

The fourth proportional to 204,804, 307,257.84 and 57,060 is: 85,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,804 : 307,257.84 = 57,060 : x
  2. Step 2: Convert to fraction form
    204,804/307,257.84 = 57,060/x
  3. Step 3: Cross multiply
    204,804x = 307,257.84 × 57,060
  4. Step 4: Simplify right side
    204,804x = 17,532,132,350.40
  5. Step 5: Solve for x
    x = 17,532,132,350.40/204,804
  6. Step 6: Final answer
    x = 85,604.44

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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.