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Finding the Fourth Proportional to 227,982.96, 341,961.48 and 61,758

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Solution

The fourth proportional to 227,982.96, 341,961.48 and 61,758 is: 92,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,982.96 : 341,961.48 = 61,758 : x
  2. Step 2: Convert to fraction form
    227,982.96/341,961.48 = 61,758/x
  3. Step 3: Cross multiply
    227,982.96x = 341,961.48 × 61,758
  4. Step 4: Simplify right side
    227,982.96x = 21,118,857,081.84
  5. Step 5: Solve for x
    x = 21,118,857,081.84/227,982.96
  6. Step 6: Final answer
    x = 92,633.49

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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.