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Finding the Fourth Proportional to 188,086.73, 281,802.02 and 156,698.42

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Solution

The fourth proportional to 188,086.73, 281,802.02 and 156,698.42 is: 234,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,086.73 : 281,802.02 = 156,698.42 : x
  2. Step 2: Convert to fraction form
    188,086.73/281,802.02 = 156,698.42/x
  3. Step 3: Cross multiply
    188,086.73x = 281,802.02 × 156,698.42
  4. Step 4: Simplify right side
    188,086.73x = 44,157,930,269.54
  5. Step 5: Solve for x
    x = 44,157,930,269.54/188,086.73
  6. Step 6: Final answer
    x = 234,774.31

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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.