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Finding the Fourth Proportional to 149,054.26, 205,634.17 and 84,509.90

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Solution

The fourth proportional to 149,054.26, 205,634.17 and 84,509.90 is: 116,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,054.26 : 205,634.17 = 84,509.90 : x
  2. Step 2: Convert to fraction form
    149,054.26/205,634.17 = 84,509.90/x
  3. Step 3: Cross multiply
    149,054.26x = 205,634.17 × 84,509.90
  4. Step 4: Simplify right side
    149,054.26x = 17,378,123,143.28
  5. Step 5: Solve for x
    x = 17,378,123,143.28/149,054.26
  6. Step 6: Final answer
    x = 116,589.24

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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.