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Finding the Fourth Proportional to 141,331.84, 211,866 and 47,772.56

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Solution

The fourth proportional to 141,331.84, 211,866 and 47,772.56 is: 71,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,331.84 : 211,866 = 47,772.56 : x
  2. Step 2: Convert to fraction form
    141,331.84/211,866 = 47,772.56/x
  3. Step 3: Cross multiply
    141,331.84x = 211,866 × 47,772.56
  4. Step 4: Simplify right side
    141,331.84x = 10,121,381,196.96
  5. Step 5: Solve for x
    x = 10,121,381,196.96/141,331.84
  6. Step 6: Final answer
    x = 71,614.30

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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.