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Finding the Fourth Proportional to 227,523.40, 341,285.10 and 61,311.40

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Solution

The fourth proportional to 227,523.40, 341,285.10 and 61,311.40 is: 91,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,523.40 : 341,285.10 = 61,311.40 : x
  2. Step 2: Convert to fraction form
    227,523.40/341,285.10 = 61,311.40/x
  3. Step 3: Cross multiply
    227,523.40x = 341,285.10 × 61,311.40
  4. Step 4: Simplify right side
    227,523.40x = 20,924,667,280.14
  5. Step 5: Solve for x
    x = 20,924,667,280.14/227,523.40
  6. Step 6: Final answer
    x = 91,967.10

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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.