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Finding the Fourth Proportional to 125,633.80, 188,450.70 and 117,857.80

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Solution

The fourth proportional to 125,633.80, 188,450.70 and 117,857.80 is: 176,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,633.80 : 188,450.70 = 117,857.80 : x
  2. Step 2: Convert to fraction form
    125,633.80/188,450.70 = 117,857.80/x
  3. Step 3: Cross multiply
    125,633.80x = 188,450.70 × 117,857.80
  4. Step 4: Simplify right side
    125,633.80x = 22,210,384,910.46
  5. Step 5: Solve for x
    x = 22,210,384,910.46/125,633.80
  6. Step 6: Final answer
    x = 176,786.70

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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.