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Finding the Fourth Proportional to 196,555.60, 294,906.30 and 78,311.80

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Solution

The fourth proportional to 196,555.60, 294,906.30 and 78,311.80 is: 117,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,555.60 : 294,906.30 = 78,311.80 : x
  2. Step 2: Convert to fraction form
    196,555.60/294,906.30 = 78,311.80/x
  3. Step 3: Cross multiply
    196,555.60x = 294,906.30 × 78,311.80
  4. Step 4: Simplify right side
    196,555.60x = 23,094,643,184.34
  5. Step 5: Solve for x
    x = 23,094,643,184.34/196,555.60
  6. Step 6: Final answer
    x = 117,496.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.