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Finding the Fourth Proportional to 355,176.80, 533,067.60 and 144,965.60

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Solution

The fourth proportional to 355,176.80, 533,067.60 and 144,965.60 is: 217,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,176.80 : 533,067.60 = 144,965.60 : x
  2. Step 2: Convert to fraction form
    355,176.80/533,067.60 = 144,965.60/x
  3. Step 3: Cross multiply
    355,176.80x = 533,067.60 × 144,965.60
  4. Step 4: Simplify right side
    355,176.80x = 77,276,464,474.56
  5. Step 5: Solve for x
    x = 77,276,464,474.56/355,176.80
  6. Step 6: Final answer
    x = 217,571.82

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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.