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Finding the Fourth Proportional to 227,984.96, 341,964.48 and 61,760

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Solution

The fourth proportional to 227,984.96, 341,964.48 and 61,760 is: 92,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,984.96 : 341,964.48 = 61,760 : x
  2. Step 2: Convert to fraction form
    227,984.96/341,964.48 = 61,760/x
  3. Step 3: Cross multiply
    227,984.96x = 341,964.48 × 61,760
  4. Step 4: Simplify right side
    227,984.96x = 21,119,726,284.80
  5. Step 5: Solve for x
    x = 21,119,726,284.80/227,984.96
  6. Step 6: Final answer
    x = 92,636.49

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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.