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Finding the Fourth Proportional to 287,144.59, 430,778.42 and 87,481.06

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Solution

The fourth proportional to 287,144.59, 430,778.42 and 87,481.06 is: 131,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,144.59 : 430,778.42 = 87,481.06 : x
  2. Step 2: Convert to fraction form
    287,144.59/430,778.42 = 87,481.06/x
  3. Step 3: Cross multiply
    287,144.59x = 430,778.42 × 87,481.06
  4. Step 4: Simplify right side
    287,144.59x = 37,684,951,292.37
  5. Step 5: Solve for x
    x = 37,684,951,292.37/287,144.59
  6. Step 6: Final answer
    x = 131,240.33

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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.