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Finding the Fourth Proportional to 300,792, 415,106.56 and 166,656

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Solution

The fourth proportional to 300,792, 415,106.56 and 166,656 is: 229,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,792 : 415,106.56 = 166,656 : x
  2. Step 2: Convert to fraction form
    300,792/415,106.56 = 166,656/x
  3. Step 3: Cross multiply
    300,792x = 415,106.56 × 166,656
  4. Step 4: Simplify right side
    300,792x = 69,179,998,863.36
  5. Step 5: Solve for x
    x = 69,179,998,863.36/300,792
  6. Step 6: Final answer
    x = 229,992.82

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