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Finding the Fourth Proportional to 234,143.74, 323,119.16 and 126,713.74

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Solution

The fourth proportional to 234,143.74, 323,119.16 and 126,713.74 is: 174,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,143.74 : 323,119.16 = 126,713.74 : x
  2. Step 2: Convert to fraction form
    234,143.74/323,119.16 = 126,713.74/x
  3. Step 3: Cross multiply
    234,143.74x = 323,119.16 × 126,713.74
  4. Step 4: Simplify right side
    234,143.74x = 40,943,637,229.26
  5. Step 5: Solve for x
    x = 40,943,637,229.26/234,143.74
  6. Step 6: Final answer
    x = 174,865.39

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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.