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Finding the Fourth Proportional to 214,884.66, 322,466.85 and 81,766.02

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Solution

The fourth proportional to 214,884.66, 322,466.85 and 81,766.02 is: 122,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,884.66 : 322,466.85 = 81,766.02 : x
  2. Step 2: Convert to fraction form
    214,884.66/322,466.85 = 81,766.02/x
  3. Step 3: Cross multiply
    214,884.66x = 322,466.85 × 81,766.02
  4. Step 4: Simplify right side
    214,884.66x = 26,366,830,906.44
  5. Step 5: Solve for x
    x = 26,366,830,906.44/214,884.66
  6. Step 6: Final answer
    x = 122,702.25

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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.