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Finding the Fourth Proportional to 109,745.80, 164,618.70 and 82,097.80

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Solution

The fourth proportional to 109,745.80, 164,618.70 and 82,097.80 is: 123,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745.80 : 164,618.70 = 82,097.80 : x
  2. Step 2: Convert to fraction form
    109,745.80/164,618.70 = 82,097.80/x
  3. Step 3: Cross multiply
    109,745.80x = 164,618.70 × 82,097.80
  4. Step 4: Simplify right side
    109,745.80x = 13,514,833,108.86
  5. Step 5: Solve for x
    x = 13,514,833,108.86/109,745.80
  6. Step 6: Final answer
    x = 123,146.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.