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Finding the Fourth Proportional to 278,169.40, 383,873.99 and 150,844.96

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Solution

The fourth proportional to 278,169.40, 383,873.99 and 150,844.96 is: 208,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,169.40 : 383,873.99 = 150,844.96 : x
  2. Step 2: Convert to fraction form
    278,169.40/383,873.99 = 150,844.96/x
  3. Step 3: Cross multiply
    278,169.40x = 383,873.99 × 150,844.96
  4. Step 4: Simplify right side
    278,169.40x = 57,905,456,666.59
  5. Step 5: Solve for x
    x = 57,905,456,666.59/278,169.40
  6. Step 6: Final answer
    x = 208,166.16

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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.