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Finding the Fourth Proportional to 117,263.82, 175,893.24 and 28,517.78

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Solution

The fourth proportional to 117,263.82, 175,893.24 and 28,517.78 is: 42,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,263.82 : 175,893.24 = 28,517.78 : x
  2. Step 2: Convert to fraction form
    117,263.82/175,893.24 = 28,517.78/x
  3. Step 3: Cross multiply
    117,263.82x = 175,893.24 × 28,517.78
  4. Step 4: Simplify right side
    117,263.82x = 5,016,084,721.81
  5. Step 5: Solve for x
    x = 5,016,084,721.81/117,263.82
  6. Step 6: Final answer
    x = 42,776.06

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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.