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Finding the Fourth Proportional to 159,915.50, 220,702.83 and 92,847.50

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Solution

The fourth proportional to 159,915.50, 220,702.83 and 92,847.50 is: 128,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,915.50 : 220,702.83 = 92,847.50 : x
  2. Step 2: Convert to fraction form
    159,915.50/220,702.83 = 92,847.50/x
  3. Step 3: Cross multiply
    159,915.50x = 220,702.83 × 92,847.50
  4. Step 4: Simplify right side
    159,915.50x = 20,491,706,008.43
  5. Step 5: Solve for x
    x = 20,491,706,008.43/159,915.50
  6. Step 6: Final answer
    x = 128,140.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.