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Finding the Fourth Proportional to 234,258.67, 323,277.14 and 126,828.78

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Solution

The fourth proportional to 234,258.67, 323,277.14 and 126,828.78 is: 175,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,258.67 : 323,277.14 = 126,828.78 : x
  2. Step 2: Convert to fraction form
    234,258.67/323,277.14 = 126,828.78/x
  3. Step 3: Cross multiply
    234,258.67x = 323,277.14 × 126,828.78
  4. Step 4: Simplify right side
    234,258.67x = 41,000,845,268.09
  5. Step 5: Solve for x
    x = 41,000,845,268.09/234,258.67
  6. Step 6: Final answer
    x = 175,023.81

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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.