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Finding the Fourth Proportional to 82,131.40, 123,197.12 and 28,865.19

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Solution

The fourth proportional to 82,131.40, 123,197.12 and 28,865.19 is: 43,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.40 : 123,197.12 = 28,865.19 : x
  2. Step 2: Convert to fraction form
    82,131.40/123,197.12 = 28,865.19/x
  3. Step 3: Cross multiply
    82,131.40x = 123,197.12 × 28,865.19
  4. Step 4: Simplify right side
    82,131.40x = 3,556,108,702.16
  5. Step 5: Solve for x
    x = 3,556,108,702.16/82,131.40
  6. Step 6: Final answer
    x = 43,297.80

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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.