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Finding the Fourth Proportional to 134,544.98, 185,658.12 and 82,853.87

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Solution

The fourth proportional to 134,544.98, 185,658.12 and 82,853.87 is: 114,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,544.98 : 185,658.12 = 82,853.87 : x
  2. Step 2: Convert to fraction form
    134,544.98/185,658.12 = 82,853.87/x
  3. Step 3: Cross multiply
    134,544.98x = 185,658.12 × 82,853.87
  4. Step 4: Simplify right side
    134,544.98x = 15,382,493,738.92
  5. Step 5: Solve for x
    x = 15,382,493,738.92/134,544.98
  6. Step 6: Final answer
    x = 114,329.75

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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.