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Finding the Fourth Proportional to 258,899.64, 388,219.58 and 150,864

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Solution

The fourth proportional to 258,899.64, 388,219.58 and 150,864 is: 226,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899.64 : 388,219.58 = 150,864 : x
  2. Step 2: Convert to fraction form
    258,899.64/388,219.58 = 150,864/x
  3. Step 3: Cross multiply
    258,899.64x = 388,219.58 × 150,864
  4. Step 4: Simplify right side
    258,899.64x = 58,568,359,094.28
  5. Step 5: Solve for x
    x = 58,568,359,094.28/258,899.64
  6. Step 6: Final answer
    x = 226,220.32

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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.