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Finding the Fourth Proportional to 78,384.60, 117,404.10 and 68,016.60

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Solution

The fourth proportional to 78,384.60, 117,404.10 and 68,016.60 is: 101,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.60 : 117,404.10 = 68,016.60 : x
  2. Step 2: Convert to fraction form
    78,384.60/117,404.10 = 68,016.60/x
  3. Step 3: Cross multiply
    78,384.60x = 117,404.10 × 68,016.60
  4. Step 4: Simplify right side
    78,384.60x = 7,985,427,708.06
  5. Step 5: Solve for x
    x = 7,985,427,708.06/78,384.60
  6. Step 6: Final answer
    x = 101,874.96

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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.