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Finding the Fourth Proportional to 204,481.76, 282,160.32 and 113,816

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Solution

The fourth proportional to 204,481.76, 282,160.32 and 113,816 is: 157,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,481.76 : 282,160.32 = 113,816 : x
  2. Step 2: Convert to fraction form
    204,481.76/282,160.32 = 113,816/x
  3. Step 3: Cross multiply
    204,481.76x = 282,160.32 × 113,816
  4. Step 4: Simplify right side
    204,481.76x = 32,114,358,981.12
  5. Step 5: Solve for x
    x = 32,114,358,981.12/204,481.76
  6. Step 6: Final answer
    x = 157,052.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.