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Finding the Fourth Proportional to 234,259.67, 323,278.52 and 126,829.78

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Solution

The fourth proportional to 234,259.67, 323,278.52 and 126,829.78 is: 175,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,259.67 : 323,278.52 = 126,829.78 : x
  2. Step 2: Convert to fraction form
    234,259.67/323,278.52 = 126,829.78/x
  3. Step 3: Cross multiply
    234,259.67x = 323,278.52 × 126,829.78
  4. Step 4: Simplify right side
    234,259.67x = 41,001,343,570.33
  5. Step 5: Solve for x
    x = 41,001,343,570.33/234,259.67
  6. Step 6: Final answer
    x = 175,025.19

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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.