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Finding the Fourth Proportional to 287,183.36, 430,971.90 and 100,194.86

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Solution

The fourth proportional to 287,183.36, 430,971.90 and 100,194.86 is: 150,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,183.36 : 430,971.90 = 100,194.86 : x
  2. Step 2: Convert to fraction form
    287,183.36/430,971.90 = 100,194.86/x
  3. Step 3: Cross multiply
    287,183.36x = 430,971.90 × 100,194.86
  4. Step 4: Simplify right side
    287,183.36x = 43,181,169,184.43
  5. Step 5: Solve for x
    x = 43,181,169,184.43/287,183.36
  6. Step 6: Final answer
    x = 150,360.97

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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.