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Finding the Fourth Proportional to 234,358.97, 323,414.38 and 130,993.02

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Solution

The fourth proportional to 234,358.97, 323,414.38 and 130,993.02 is: 180,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,358.97 : 323,414.38 = 130,993.02 : x
  2. Step 2: Convert to fraction form
    234,358.97/323,414.38 = 130,993.02/x
  3. Step 3: Cross multiply
    234,358.97x = 323,414.38 × 130,993.02
  4. Step 4: Simplify right side
    234,358.97x = 42,365,026,776.24
  5. Step 5: Solve for x
    x = 42,365,026,776.24/234,358.97
  6. Step 6: Final answer
    x = 180,769.81

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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.