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Finding the Fourth Proportional to 278,169.93, 383,871.15 and 150,844.01

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Solution

The fourth proportional to 278,169.93, 383,871.15 and 150,844.01 is: 208,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,169.93 : 383,871.15 = 150,844.01 : x
  2. Step 2: Convert to fraction form
    278,169.93/383,871.15 = 150,844.01/x
  3. Step 3: Cross multiply
    278,169.93x = 383,871.15 × 150,844.01
  4. Step 4: Simplify right side
    278,169.93x = 57,904,661,669.96
  5. Step 5: Solve for x
    x = 57,904,661,669.96/278,169.93
  6. Step 6: Final answer
    x = 208,162.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.