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Finding the Fourth Proportional to 164,543.86, 227,057.42 and 92,930.86

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Solution

The fourth proportional to 164,543.86, 227,057.42 and 92,930.86 is: 128,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,543.86 : 227,057.42 = 92,930.86 : x
  2. Step 2: Convert to fraction form
    164,543.86/227,057.42 = 92,930.86/x
  3. Step 3: Cross multiply
    164,543.86x = 227,057.42 × 92,930.86
  4. Step 4: Simplify right side
    164,543.86x = 21,100,641,309.98
  5. Step 5: Solve for x
    x = 21,100,641,309.98/164,543.86
  6. Step 6: Final answer
    x = 128,237.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.