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Finding the Fourth Proportional to 149,016.90, 205,627.77 and 85,357.38

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Solution

The fourth proportional to 149,016.90, 205,627.77 and 85,357.38 is: 117,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,016.90 : 205,627.77 = 85,357.38 : x
  2. Step 2: Convert to fraction form
    149,016.90/205,627.77 = 85,357.38/x
  3. Step 3: Cross multiply
    149,016.90x = 205,627.77 × 85,357.38
  4. Step 4: Simplify right side
    149,016.90x = 17,551,847,702.44
  5. Step 5: Solve for x
    x = 17,551,847,702.44/149,016.90
  6. Step 6: Final answer
    x = 117,784.28

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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.