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Finding the Fourth Proportional to 263,592.87, 363,756.51 and 142,731.60

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Solution

The fourth proportional to 263,592.87, 363,756.51 and 142,731.60 is: 196,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,592.87 : 363,756.51 = 142,731.60 : x
  2. Step 2: Convert to fraction form
    263,592.87/363,756.51 = 142,731.60/x
  3. Step 3: Cross multiply
    263,592.87x = 363,756.51 × 142,731.60
  4. Step 4: Simplify right side
    263,592.87x = 51,919,548,682.72
  5. Step 5: Solve for x
    x = 51,919,548,682.72/263,592.87
  6. Step 6: Final answer
    x = 196,968.71

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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.