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Finding the Fourth Proportional to 83,255.68, 114,858 and 54,582.22

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Solution

The fourth proportional to 83,255.68, 114,858 and 54,582.22 is: 75,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,255.68 : 114,858 = 54,582.22 : x
  2. Step 2: Convert to fraction form
    83,255.68/114,858 = 54,582.22/x
  3. Step 3: Cross multiply
    83,255.68x = 114,858 × 54,582.22
  4. Step 4: Simplify right side
    83,255.68x = 6,269,204,624.76
  5. Step 5: Solve for x
    x = 6,269,204,624.76/83,255.68
  6. Step 6: Final answer
    x = 75,300.62

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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.