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Finding the Fourth Proportional to 188,114.89, 282,371.87 and 166,615.92

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Solution

The fourth proportional to 188,114.89, 282,371.87 and 166,615.92 is: 250,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,114.89 : 282,371.87 = 166,615.92 : x
  2. Step 2: Convert to fraction form
    188,114.89/282,371.87 = 166,615.92/x
  3. Step 3: Cross multiply
    188,114.89x = 282,371.87 × 166,615.92
  4. Step 4: Simplify right side
    188,114.89x = 47,047,649,318.71
  5. Step 5: Solve for x
    x = 47,047,649,318.71/188,114.89
  6. Step 6: Final answer
    x = 250,100.61

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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.