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Finding the Fourth Proportional to 204,864, 282,712.32 and 110,656

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Solution

The fourth proportional to 204,864, 282,712.32 and 110,656 is: 152,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,864 : 282,712.32 = 110,656 : x
  2. Step 2: Convert to fraction form
    204,864/282,712.32 = 110,656/x
  3. Step 3: Cross multiply
    204,864x = 282,712.32 × 110,656
  4. Step 4: Simplify right side
    204,864x = 31,283,814,481.92
  5. Step 5: Solve for x
    x = 31,283,814,481.92/204,864
  6. Step 6: Final answer
    x = 152,705.28

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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.