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Finding the Fourth Proportional to 109,861, 164,733.18 and 50,666.20

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Solution

The fourth proportional to 109,861, 164,733.18 and 50,666.20 is: 75,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,861 : 164,733.18 = 50,666.20 : x
  2. Step 2: Convert to fraction form
    109,861/164,733.18 = 50,666.20/x
  3. Step 3: Cross multiply
    109,861x = 164,733.18 × 50,666.20
  4. Step 4: Simplify right side
    109,861x = 8,346,404,244.52
  5. Step 5: Solve for x
    x = 8,346,404,244.52/109,861
  6. Step 6: Final answer
    x = 75,972.40

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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.