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Finding the Fourth Proportional to 234,829, 324,064.02 and 134,229.16

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Solution

The fourth proportional to 234,829, 324,064.02 and 134,229.16 is: 185,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,829 : 324,064.02 = 134,229.16 : x
  2. Step 2: Convert to fraction form
    234,829/324,064.02 = 134,229.16/x
  3. Step 3: Cross multiply
    234,829x = 324,064.02 × 134,229.16
  4. Step 4: Simplify right side
    234,829x = 43,498,841,190.82
  5. Step 5: Solve for x
    x = 43,498,841,190.82/234,829
  6. Step 6: Final answer
    x = 185,236.24

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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.