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Finding the Fourth Proportional to 234,955.41, 324,229.78 and 127,523.14

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Solution

The fourth proportional to 234,955.41, 324,229.78 and 127,523.14 is: 175,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,955.41 : 324,229.78 = 127,523.14 : x
  2. Step 2: Convert to fraction form
    234,955.41/324,229.78 = 127,523.14/x
  3. Step 3: Cross multiply
    234,955.41x = 324,229.78 × 127,523.14
  4. Step 4: Simplify right side
    234,955.41x = 41,346,799,627.11
  5. Step 5: Solve for x
    x = 41,346,799,627.11/234,955.41
  6. Step 6: Final answer
    x = 175,977.22

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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.