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Finding the Fourth Proportional to 117,149.77, 175,682.28 and 42,249.80

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Solution

The fourth proportional to 117,149.77, 175,682.28 and 42,249.80 is: 63,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,149.77 : 175,682.28 = 42,249.80 : x
  2. Step 2: Convert to fraction form
    117,149.77/175,682.28 = 42,249.80/x
  3. Step 3: Cross multiply
    117,149.77x = 175,682.28 × 42,249.80
  4. Step 4: Simplify right side
    117,149.77x = 7,422,541,612.95
  5. Step 5: Solve for x
    x = 7,422,541,612.95/117,149.77
  6. Step 6: Final answer
    x = 63,359.42

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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.