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Finding the Fourth Proportional to 109,981.96, 164,898.88 and 50,785

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Solution

The fourth proportional to 109,981.96, 164,898.88 and 50,785 is: 76,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,981.96 : 164,898.88 = 50,785 : x
  2. Step 2: Convert to fraction form
    109,981.96/164,898.88 = 50,785/x
  3. Step 3: Cross multiply
    109,981.96x = 164,898.88 × 50,785
  4. Step 4: Simplify right side
    109,981.96x = 8,374,389,620.80
  5. Step 5: Solve for x
    x = 8,374,389,620.80/109,981.96
  6. Step 6: Final answer
    x = 76,143.30

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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.