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Finding the Fourth Proportional to 150,286.88, 207,393.36 and 83,217.44

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Solution

The fourth proportional to 150,286.88, 207,393.36 and 83,217.44 is: 114,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286.88 : 207,393.36 = 83,217.44 : x
  2. Step 2: Convert to fraction form
    150,286.88/207,393.36 = 83,217.44/x
  3. Step 3: Cross multiply
    150,286.88x = 207,393.36 × 83,217.44
  4. Step 4: Simplify right side
    150,286.88x = 17,258,744,492.20
  5. Step 5: Solve for x
    x = 17,258,744,492.20/150,286.88
  6. Step 6: Final answer
    x = 114,838.66

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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.