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Finding the Fourth Proportional to 183,283.20, 274,838.52 and 71,016

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Solution

The fourth proportional to 183,283.20, 274,838.52 and 71,016 is: 106,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,283.20 : 274,838.52 = 71,016 : x
  2. Step 2: Convert to fraction form
    183,283.20/274,838.52 = 71,016/x
  3. Step 3: Cross multiply
    183,283.20x = 274,838.52 × 71,016
  4. Step 4: Simplify right side
    183,283.20x = 19,517,932,336.32
  5. Step 5: Solve for x
    x = 19,517,932,336.32/183,283.20
  6. Step 6: Final answer
    x = 106,490.57

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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.