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Finding the Fourth Proportional to 85,169.84, 116,683.21 and 81,977.48

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Solution

The fourth proportional to 85,169.84, 116,683.21 and 81,977.48 is: 112,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.84 : 116,683.21 = 81,977.48 : x
  2. Step 2: Convert to fraction form
    85,169.84/116,683.21 = 81,977.48/x
  3. Step 3: Cross multiply
    85,169.84x = 116,683.21 × 81,977.48
  4. Step 4: Simplify right side
    85,169.84x = 9,565,395,514.11
  5. Step 5: Solve for x
    x = 9,565,395,514.11/85,169.84
  6. Step 6: Final answer
    x = 112,309.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.