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Finding the Fourth Proportional to 278,292.74, 384,044.94 and 150,969.24

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Solution

The fourth proportional to 278,292.74, 384,044.94 and 150,969.24 is: 208,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,292.74 : 384,044.94 = 150,969.24 : x
  2. Step 2: Convert to fraction form
    278,292.74/384,044.94 = 150,969.24/x
  3. Step 3: Cross multiply
    278,292.74x = 384,044.94 × 150,969.24
  4. Step 4: Simplify right side
    278,292.74x = 57,978,972,717.65
  5. Step 5: Solve for x
    x = 57,978,972,717.65/278,292.74
  6. Step 6: Final answer
    x = 208,338.08

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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.