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Finding the Fourth Proportional to 68,193.60, 102,117.60 and 54,369.60

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Solution

The fourth proportional to 68,193.60, 102,117.60 and 54,369.60 is: 81,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193.60 : 102,117.60 = 54,369.60 : x
  2. Step 2: Convert to fraction form
    68,193.60/102,117.60 = 54,369.60/x
  3. Step 3: Cross multiply
    68,193.60x = 102,117.60 × 54,369.60
  4. Step 4: Simplify right side
    68,193.60x = 5,552,093,064.96
  5. Step 5: Solve for x
    x = 5,552,093,064.96/68,193.60
  6. Step 6: Final answer
    x = 81,416.63

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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.