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Finding the Fourth Proportional to 278,816.60, 384,797.64 and 156,320.60

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Solution

The fourth proportional to 278,816.60, 384,797.64 and 156,320.60 is: 215,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,816.60 : 384,797.64 = 156,320.60 : x
  2. Step 2: Convert to fraction form
    278,816.60/384,797.64 = 156,320.60/x
  3. Step 3: Cross multiply
    278,816.60x = 384,797.64 × 156,320.60
  4. Step 4: Simplify right side
    278,816.60x = 60,151,797,963.38
  5. Step 5: Solve for x
    x = 60,151,797,963.38/278,816.60
  6. Step 6: Final answer
    x = 215,739.66

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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.