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Finding the Fourth Proportional to 278,168.14, 383,872.02 and 150,844.03

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Solution

The fourth proportional to 278,168.14, 383,872.02 and 150,844.03 is: 208,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168.14 : 383,872.02 = 150,844.03 : x
  2. Step 2: Convert to fraction form
    278,168.14/383,872.02 = 150,844.03/x
  3. Step 3: Cross multiply
    278,168.14x = 383,872.02 × 150,844.03
  4. Step 4: Simplify right side
    278,168.14x = 57,904,802,501.04
  5. Step 5: Solve for x
    x = 57,904,802,501.04/278,168.14
  6. Step 6: Final answer
    x = 208,164.75

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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.