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Finding the Fourth Proportional to 117,385.25, 176,057.42 and 54,199.98

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Solution

The fourth proportional to 117,385.25, 176,057.42 and 54,199.98 is: 81,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,385.25 : 176,057.42 = 54,199.98 : x
  2. Step 2: Convert to fraction form
    117,385.25/176,057.42 = 54,199.98/x
  3. Step 3: Cross multiply
    117,385.25x = 176,057.42 × 54,199.98
  4. Step 4: Simplify right side
    117,385.25x = 9,542,308,371.85
  5. Step 5: Solve for x
    x = 9,542,308,371.85/117,385.25
  6. Step 6: Final answer
    x = 81,290.53

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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.