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Finding the Fourth Proportional to 156,086.94, 234,167.66 and 50,906

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Solution

The fourth proportional to 156,086.94, 234,167.66 and 50,906 is: 76,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,086.94 : 234,167.66 = 50,906 : x
  2. Step 2: Convert to fraction form
    156,086.94/234,167.66 = 50,906/x
  3. Step 3: Cross multiply
    156,086.94x = 234,167.66 × 50,906
  4. Step 4: Simplify right side
    156,086.94x = 11,920,538,899.96
  5. Step 5: Solve for x
    x = 11,920,538,899.96/156,086.94
  6. Step 6: Final answer
    x = 76,371.15

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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.