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Finding the Fourth Proportional to 215,292.96, 322,961.46 and 82,285.17

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Solution

The fourth proportional to 215,292.96, 322,961.46 and 82,285.17 is: 123,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,292.96 : 322,961.46 = 82,285.17 : x
  2. Step 2: Convert to fraction form
    215,292.96/322,961.46 = 82,285.17/x
  3. Step 3: Cross multiply
    215,292.96x = 322,961.46 × 82,285.17
  4. Step 4: Simplify right side
    215,292.96x = 26,574,938,639.55
  5. Step 5: Solve for x
    x = 26,574,938,639.55/215,292.96
  6. Step 6: Final answer
    x = 123,436.17

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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.