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Finding the Fourth Proportional to 114,053.26, 171,107.77 and 80,384.94

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Solution

The fourth proportional to 114,053.26, 171,107.77 and 80,384.94 is: 120,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,053.26 : 171,107.77 = 80,384.94 : x
  2. Step 2: Convert to fraction form
    114,053.26/171,107.77 = 80,384.94/x
  3. Step 3: Cross multiply
    114,053.26x = 171,107.77 × 80,384.94
  4. Step 4: Simplify right side
    114,053.26x = 13,754,487,824.98
  5. Step 5: Solve for x
    x = 13,754,487,824.98/114,053.26
  6. Step 6: Final answer
    x = 120,597.06

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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.