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Finding the Fourth Proportional to 188,081.77, 282,169.32 and 93,356.41

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Solution

The fourth proportional to 188,081.77, 282,169.32 and 93,356.41 is: 140,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,081.77 : 282,169.32 = 93,356.41 : x
  2. Step 2: Convert to fraction form
    188,081.77/282,169.32 = 93,356.41/x
  3. Step 3: Cross multiply
    188,081.77x = 282,169.32 × 93,356.41
  4. Step 4: Simplify right side
    188,081.77x = 26,342,314,727.34
  5. Step 5: Solve for x
    x = 26,342,314,727.34/188,081.77
  6. Step 6: Final answer
    x = 140,057.78

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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.