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Finding the Fourth Proportional to 197,000.40, 295,414.20 and 78,632.40

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Solution

The fourth proportional to 197,000.40, 295,414.20 and 78,632.40 is: 117,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,000.40 : 295,414.20 = 78,632.40 : x
  2. Step 2: Convert to fraction form
    197,000.40/295,414.20 = 78,632.40/x
  3. Step 3: Cross multiply
    197,000.40x = 295,414.20 × 78,632.40
  4. Step 4: Simplify right side
    197,000.40x = 23,229,127,540.08
  5. Step 5: Solve for x
    x = 23,229,127,540.08/197,000.40
  6. Step 6: Final answer
    x = 117,914.11

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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.