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Finding the Fourth Proportional to 204,340.46, 306,512.42 and 71,220.49

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Solution

The fourth proportional to 204,340.46, 306,512.42 and 71,220.49 is: 106,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,340.46 : 306,512.42 = 71,220.49 : x
  2. Step 2: Convert to fraction form
    204,340.46/306,512.42 = 71,220.49/x
  3. Step 3: Cross multiply
    204,340.46x = 306,512.42 × 71,220.49
  4. Step 4: Simplify right side
    204,340.46x = 21,829,963,621.10
  5. Step 5: Solve for x
    x = 21,829,963,621.10/204,340.46
  6. Step 6: Final answer
    x = 106,831.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.