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Finding the Fourth Proportional to 188,110.70, 282,239.50 and 82,855.88

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Solution

The fourth proportional to 188,110.70, 282,239.50 and 82,855.88 is: 124,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,110.70 : 282,239.50 = 82,855.88 : x
  2. Step 2: Convert to fraction form
    188,110.70/282,239.50 = 82,855.88/x
  3. Step 3: Cross multiply
    188,110.70x = 282,239.50 × 82,855.88
  4. Step 4: Simplify right side
    188,110.70x = 23,385,202,143.26
  5. Step 5: Solve for x
    x = 23,385,202,143.26/188,110.70
  6. Step 6: Final answer
    x = 124,316.17

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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.