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Finding the Fourth Proportional to 278,287.70, 384,037.77 and 150,963.29

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Solution

The fourth proportional to 278,287.70, 384,037.77 and 150,963.29 is: 208,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,287.70 : 384,037.77 = 150,963.29 : x
  2. Step 2: Convert to fraction form
    278,287.70/384,037.77 = 150,963.29/x
  3. Step 3: Cross multiply
    278,287.70x = 384,037.77 × 150,963.29
  4. Step 4: Simplify right side
    278,287.70x = 57,975,607,489.74
  5. Step 5: Solve for x
    x = 57,975,607,489.74/278,287.70
  6. Step 6: Final answer
    x = 208,329.75

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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.