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Finding the Fourth Proportional to 227,865.92, 341,847.34 and 78,066

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Solution

The fourth proportional to 227,865.92, 341,847.34 and 78,066 is: 117,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,865.92 : 341,847.34 = 78,066 : x
  2. Step 2: Convert to fraction form
    227,865.92/341,847.34 = 78,066/x
  3. Step 3: Cross multiply
    227,865.92x = 341,847.34 × 78,066
  4. Step 4: Simplify right side
    227,865.92x = 26,686,654,444.44
  5. Step 5: Solve for x
    x = 26,686,654,444.44/227,865.92
  6. Step 6: Final answer
    x = 117,115.60

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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.