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Finding the Fourth Proportional to 175,770.49, 263,655.30 and 42,650.64

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Solution

The fourth proportional to 175,770.49, 263,655.30 and 42,650.64 is: 63,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,770.49 : 263,655.30 = 42,650.64 : x
  2. Step 2: Convert to fraction form
    175,770.49/263,655.30 = 42,650.64/x
  3. Step 3: Cross multiply
    175,770.49x = 263,655.30 × 42,650.64
  4. Step 4: Simplify right side
    175,770.49x = 11,245,067,284.39
  5. Step 5: Solve for x
    x = 11,245,067,284.39/175,770.49
  6. Step 6: Final answer
    x = 63,975.85

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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.