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Finding the Fourth Proportional to 149,416.26, 206,396.34 and 119,411.88

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Solution

The fourth proportional to 149,416.26, 206,396.34 and 119,411.88 is: 164,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,416.26 : 206,396.34 = 119,411.88 : x
  2. Step 2: Convert to fraction form
    149,416.26/206,396.34 = 119,411.88/x
  3. Step 3: Cross multiply
    149,416.26x = 206,396.34 × 119,411.88
  4. Step 4: Simplify right side
    149,416.26x = 24,646,174,984.52
  5. Step 5: Solve for x
    x = 24,646,174,984.52/149,416.26
  6. Step 6: Final answer
    x = 164,949.75

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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.