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Finding the Fourth Proportional to 259,039.26, 388,541.04 and 159,214.86

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Solution

The fourth proportional to 259,039.26, 388,541.04 and 159,214.86 is: 238,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,039.26 : 388,541.04 = 159,214.86 : x
  2. Step 2: Convert to fraction form
    259,039.26/388,541.04 = 159,214.86/x
  3. Step 3: Cross multiply
    259,039.26x = 388,541.04 × 159,214.86
  4. Step 4: Simplify right side
    259,039.26x = 61,861,507,287.85
  5. Step 5: Solve for x
    x = 61,861,507,287.85/259,039.26
  6. Step 6: Final answer
    x = 238,811.32

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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.