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Finding the Fourth Proportional to 215,360, 323,052.96 and 67,616

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Solution

The fourth proportional to 215,360, 323,052.96 and 67,616 is: 101,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,360 : 323,052.96 = 67,616 : x
  2. Step 2: Convert to fraction form
    215,360/323,052.96 = 67,616/x
  3. Step 3: Cross multiply
    215,360x = 323,052.96 × 67,616
  4. Step 4: Simplify right side
    215,360x = 21,843,548,943.36
  5. Step 5: Solve for x
    x = 21,843,548,943.36/215,360
  6. Step 6: Final answer
    x = 101,428.07

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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.