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Finding the Fourth Proportional to 234,097.86, 323,054 and 126,669.78

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Solution

The fourth proportional to 234,097.86, 323,054 and 126,669.78 is: 174,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,097.86 : 323,054 = 126,669.78 : x
  2. Step 2: Convert to fraction form
    234,097.86/323,054 = 126,669.78/x
  3. Step 3: Cross multiply
    234,097.86x = 323,054 × 126,669.78
  4. Step 4: Simplify right side
    234,097.86x = 40,921,179,108.12
  5. Step 5: Solve for x
    x = 40,921,179,108.12/234,097.86
  6. Step 6: Final answer
    x = 174,803.73

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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.