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Finding the Fourth Proportional to 109,400.96, 150,969.04 and 61,664

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Solution

The fourth proportional to 109,400.96, 150,969.04 and 61,664 is: 85,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400.96 : 150,969.04 = 61,664 : x
  2. Step 2: Convert to fraction form
    109,400.96/150,969.04 = 61,664/x
  3. Step 3: Cross multiply
    109,400.96x = 150,969.04 × 61,664
  4. Step 4: Simplify right side
    109,400.96x = 9,309,354,882.56
  5. Step 5: Solve for x
    x = 9,309,354,882.56/109,400.96
  6. Step 6: Final answer
    x = 85,093.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.