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Finding the Fourth Proportional to 145,514.40, 200,793.60 and 81,850.80

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Solution

The fourth proportional to 145,514.40, 200,793.60 and 81,850.80 is: 112,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,514.40 : 200,793.60 = 81,850.80 : x
  2. Step 2: Convert to fraction form
    145,514.40/200,793.60 = 81,850.80/x
  3. Step 3: Cross multiply
    145,514.40x = 200,793.60 × 81,850.80
  4. Step 4: Simplify right side
    145,514.40x = 16,435,116,794.88
  5. Step 5: Solve for x
    x = 16,435,116,794.88/145,514.40
  6. Step 6: Final answer
    x = 112,944.95

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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.