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Finding the Fourth Proportional to 135,828.09, 203,662.35 and 41,029.74

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Solution

The fourth proportional to 135,828.09, 203,662.35 and 41,029.74 is: 61,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828.09 : 203,662.35 = 41,029.74 : x
  2. Step 2: Convert to fraction form
    135,828.09/203,662.35 = 41,029.74/x
  3. Step 3: Cross multiply
    135,828.09x = 203,662.35 × 41,029.74
  4. Step 4: Simplify right side
    135,828.09x = 8,356,213,268.29
  5. Step 5: Solve for x
    x = 8,356,213,268.29/135,828.09
  6. Step 6: Final answer
    x = 61,520.51

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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.