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Finding the Fourth Proportional to 149,702.56, 206,584.32 and 89,242

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Solution

The fourth proportional to 149,702.56, 206,584.32 and 89,242 is: 123,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,702.56 : 206,584.32 = 89,242 : x
  2. Step 2: Convert to fraction form
    149,702.56/206,584.32 = 89,242/x
  3. Step 3: Cross multiply
    149,702.56x = 206,584.32 × 89,242
  4. Step 4: Simplify right side
    149,702.56x = 18,435,997,885.44
  5. Step 5: Solve for x
    x = 18,435,997,885.44/149,702.56
  6. Step 6: Final answer
    x = 123,150.85

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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.