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Finding the Fourth Proportional to 218,649.75, 328,020 and 92,291.05

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Solution

The fourth proportional to 218,649.75, 328,020 and 92,291.05 is: 138,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,649.75 : 328,020 = 92,291.05 : x
  2. Step 2: Convert to fraction form
    218,649.75/328,020 = 92,291.05/x
  3. Step 3: Cross multiply
    218,649.75x = 328,020 × 92,291.05
  4. Step 4: Simplify right side
    218,649.75x = 30,273,310,221
  5. Step 5: Solve for x
    x = 30,273,310,221/218,649.75
  6. Step 6: Final answer
    x = 138,455.73

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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.