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Finding the Fourth Proportional to 85,204.40, 117,590.82 and 51,223.96

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Solution

The fourth proportional to 85,204.40, 117,590.82 and 51,223.96 is: 70,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,204.40 : 117,590.82 = 51,223.96 : x
  2. Step 2: Convert to fraction form
    85,204.40/117,590.82 = 51,223.96/x
  3. Step 3: Cross multiply
    85,204.40x = 117,590.82 × 51,223.96
  4. Step 4: Simplify right side
    85,204.40x = 6,023,466,872.09
  5. Step 5: Solve for x
    x = 6,023,466,872.09/85,204.40
  6. Step 6: Final answer
    x = 70,694.32

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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.