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Finding the Fourth Proportional to 278,169.66, 383,709.64 and 177,567.66

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Solution

The fourth proportional to 278,169.66, 383,709.64 and 177,567.66 is: 244,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,169.66 : 383,709.64 = 177,567.66 : x
  2. Step 2: Convert to fraction form
    278,169.66/383,709.64 = 177,567.66/x
  3. Step 3: Cross multiply
    278,169.66x = 383,709.64 × 177,567.66
  4. Step 4: Simplify right side
    278,169.66x = 68,134,422,894.24
  5. Step 5: Solve for x
    x = 68,134,422,894.24/278,169.66
  6. Step 6: Final answer
    x = 244,938.37

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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.