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Finding the Fourth Proportional to 188,770.98, 283,071.75 and 55,604.58

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Solution

The fourth proportional to 188,770.98, 283,071.75 and 55,604.58 is: 83,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,770.98 : 283,071.75 = 55,604.58 : x
  2. Step 2: Convert to fraction form
    188,770.98/283,071.75 = 55,604.58/x
  3. Step 3: Cross multiply
    188,770.98x = 283,071.75 × 55,604.58
  4. Step 4: Simplify right side
    188,770.98x = 15,740,085,768.62
  5. Step 5: Solve for x
    x = 15,740,085,768.62/188,770.98
  6. Step 6: Final answer
    x = 83,381.91

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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.