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Finding the Fourth Proportional to 198,146.85, 296,712.81 and 109,301.61

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Solution

The fourth proportional to 198,146.85, 296,712.81 and 109,301.61 is: 163,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,146.85 : 296,712.81 = 109,301.61 : x
  2. Step 2: Convert to fraction form
    198,146.85/296,712.81 = 109,301.61/x
  3. Step 3: Cross multiply
    198,146.85x = 296,712.81 × 109,301.61
  4. Step 4: Simplify right side
    198,146.85x = 32,431,187,840.62
  5. Step 5: Solve for x
    x = 32,431,187,840.62/198,146.85
  6. Step 6: Final answer
    x = 163,672.49

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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.