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Finding the Fourth Proportional to 227,918, 341,891.40 and 87,676.40

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Solution

The fourth proportional to 227,918, 341,891.40 and 87,676.40 is: 131,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,918 : 341,891.40 = 87,676.40 : x
  2. Step 2: Convert to fraction form
    227,918/341,891.40 = 87,676.40/x
  3. Step 3: Cross multiply
    227,918x = 341,891.40 × 87,676.40
  4. Step 4: Simplify right side
    227,918x = 29,975,807,142.96
  5. Step 5: Solve for x
    x = 29,975,807,142.96/227,918
  6. Step 6: Final answer
    x = 131,520.14

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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.