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Finding the Fourth Proportional to 378,178.80, 567,229.80 and 128,857.20

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Solution

The fourth proportional to 378,178.80, 567,229.80 and 128,857.20 is: 193,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,178.80 : 567,229.80 = 128,857.20 : x
  2. Step 2: Convert to fraction form
    378,178.80/567,229.80 = 128,857.20/x
  3. Step 3: Cross multiply
    378,178.80x = 567,229.80 × 128,857.20
  4. Step 4: Simplify right side
    378,178.80x = 73,091,643,784.56
  5. Step 5: Solve for x
    x = 73,091,643,784.56/378,178.80
  6. Step 6: Final answer
    x = 193,272.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.