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Finding the Fourth Proportional to 185,600.20, 256,114.17 and 109,122.40

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Solution

The fourth proportional to 185,600.20, 256,114.17 and 109,122.40 is: 150,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,600.20 : 256,114.17 = 109,122.40 : x
  2. Step 2: Convert to fraction form
    185,600.20/256,114.17 = 109,122.40/x
  3. Step 3: Cross multiply
    185,600.20x = 256,114.17 × 109,122.40
  4. Step 4: Simplify right side
    185,600.20x = 27,947,792,904.41
  5. Step 5: Solve for x
    x = 27,947,792,904.41/185,600.20
  6. Step 6: Final answer
    x = 150,580.62

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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.