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Finding the Fourth Proportional to 99,817.48, 137,742.22 and 54,486.44

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Solution

The fourth proportional to 99,817.48, 137,742.22 and 54,486.44 is: 75,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817.48 : 137,742.22 = 54,486.44 : x
  2. Step 2: Convert to fraction form
    99,817.48/137,742.22 = 54,486.44/x
  3. Step 3: Cross multiply
    99,817.48x = 137,742.22 × 54,486.44
  4. Step 4: Simplify right side
    99,817.48x = 7,505,083,205.50
  5. Step 5: Solve for x
    x = 7,505,083,205.50/99,817.48
  6. Step 6: Final answer
    x = 75,188.07

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Why These Related Problems?

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