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Finding the Fourth Proportional to 235,785.93, 325,288.44 and 145,114.53

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Solution

The fourth proportional to 235,785.93, 325,288.44 and 145,114.53 is: 200,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,785.93 : 325,288.44 = 145,114.53 : x
  2. Step 2: Convert to fraction form
    235,785.93/325,288.44 = 145,114.53/x
  3. Step 3: Cross multiply
    235,785.93x = 325,288.44 × 145,114.53
  4. Step 4: Simplify right side
    235,785.93x = 47,204,079,085.03
  5. Step 5: Solve for x
    x = 47,204,079,085.03/235,785.93
  6. Step 6: Final answer
    x = 200,198.88

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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.