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Finding the Fourth Proportional to 89,451.42, 123,551.22 and 65,214

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Solution

The fourth proportional to 89,451.42, 123,551.22 and 65,214 is: 90,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,451.42 : 123,551.22 = 65,214 : x
  2. Step 2: Convert to fraction form
    89,451.42/123,551.22 = 65,214/x
  3. Step 3: Cross multiply
    89,451.42x = 123,551.22 × 65,214
  4. Step 4: Simplify right side
    89,451.42x = 8,057,269,261.08
  5. Step 5: Solve for x
    x = 8,057,269,261.08/89,451.42
  6. Step 6: Final answer
    x = 90,074.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.