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Finding the Fourth Proportional to 109,414.70, 164,122.05 and 74,422.70

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Solution

The fourth proportional to 109,414.70, 164,122.05 and 74,422.70 is: 111,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,414.70 : 164,122.05 = 74,422.70 : x
  2. Step 2: Convert to fraction form
    109,414.70/164,122.05 = 74,422.70/x
  3. Step 3: Cross multiply
    109,414.70x = 164,122.05 × 74,422.70
  4. Step 4: Simplify right side
    109,414.70x = 12,214,406,090.54
  5. Step 5: Solve for x
    x = 12,214,406,090.54/109,414.70
  6. Step 6: Final answer
    x = 111,634.05

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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.