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Finding the Fourth Proportional to 78,467.60, 117,528.60 and 68,099.60

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Solution

The fourth proportional to 78,467.60, 117,528.60 and 68,099.60 is: 101,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.60 : 117,528.60 = 68,099.60 : x
  2. Step 2: Convert to fraction form
    78,467.60/117,528.60 = 68,099.60/x
  3. Step 3: Cross multiply
    78,467.60x = 117,528.60 × 68,099.60
  4. Step 4: Simplify right side
    78,467.60x = 8,003,650,648.56
  5. Step 5: Solve for x
    x = 8,003,650,648.56/78,467.60
  6. Step 6: Final answer
    x = 101,999.43

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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.