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Finding the Fourth Proportional to 234,309.44, 323,334.24 and 138,824.96

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Solution

The fourth proportional to 234,309.44, 323,334.24 and 138,824.96 is: 191,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,309.44 : 323,334.24 = 138,824.96 : x
  2. Step 2: Convert to fraction form
    234,309.44/323,334.24 = 138,824.96/x
  3. Step 3: Cross multiply
    234,309.44x = 323,334.24 × 138,824.96
  4. Step 4: Simplify right side
    234,309.44x = 44,886,862,934.63
  5. Step 5: Solve for x
    x = 44,886,862,934.63/234,309.44
  6. Step 6: Final answer
    x = 191,570.87

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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.