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Finding the Fourth Proportional to 203,943.60, 305,915.40 and 133,084.80

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Solution

The fourth proportional to 203,943.60, 305,915.40 and 133,084.80 is: 199,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,943.60 : 305,915.40 = 133,084.80 : x
  2. Step 2: Convert to fraction form
    203,943.60/305,915.40 = 133,084.80/x
  3. Step 3: Cross multiply
    203,943.60x = 305,915.40 × 133,084.80
  4. Step 4: Simplify right side
    203,943.60x = 40,712,689,825.92
  5. Step 5: Solve for x
    x = 40,712,689,825.92/203,943.60
  6. Step 6: Final answer
    x = 199,627.20

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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.