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Finding the Fourth Proportional to 256,111.74, 384,227.96 and 87,633.90

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Solution

The fourth proportional to 256,111.74, 384,227.96 and 87,633.90 is: 131,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.74 : 384,227.96 = 87,633.90 : x
  2. Step 2: Convert to fraction form
    256,111.74/384,227.96 = 87,633.90/x
  3. Step 3: Cross multiply
    256,111.74x = 384,227.96 × 87,633.90
  4. Step 4: Simplify right side
    256,111.74x = 33,671,394,185.67
  5. Step 5: Solve for x
    x = 33,671,394,185.67/256,111.74
  6. Step 6: Final answer
    x = 131,471.50

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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.