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Finding the Fourth Proportional to 234,034.75, 322,966.20 and 126,603.24

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Solution

The fourth proportional to 234,034.75, 322,966.20 and 126,603.24 is: 174,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,034.75 : 322,966.20 = 126,603.24 : x
  2. Step 2: Convert to fraction form
    234,034.75/322,966.20 = 126,603.24/x
  3. Step 3: Cross multiply
    234,034.75x = 322,966.20 × 126,603.24
  4. Step 4: Simplify right side
    234,034.75x = 40,888,567,330.49
  5. Step 5: Solve for x
    x = 40,888,567,330.49/234,034.75
  6. Step 6: Final answer
    x = 174,711.52

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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.