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Finding the Fourth Proportional to 278,119.38, 383,801.28 and 150,794.66

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Solution

The fourth proportional to 278,119.38, 383,801.28 and 150,794.66 is: 208,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,119.38 : 383,801.28 = 150,794.66 : x
  2. Step 2: Convert to fraction form
    278,119.38/383,801.28 = 150,794.66/x
  3. Step 3: Cross multiply
    278,119.38x = 383,801.28 × 150,794.66
  4. Step 4: Simplify right side
    278,119.38x = 57,875,183,525.16
  5. Step 5: Solve for x
    x = 57,875,183,525.16/278,119.38
  6. Step 6: Final answer
    x = 208,094.75

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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.