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Finding the Fourth Proportional to 238,604.16, 329,254.16 and 140,471.82

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Solution

The fourth proportional to 238,604.16, 329,254.16 and 140,471.82 is: 193,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,604.16 : 329,254.16 = 140,471.82 : x
  2. Step 2: Convert to fraction form
    238,604.16/329,254.16 = 140,471.82/x
  3. Step 3: Cross multiply
    238,604.16x = 329,254.16 × 140,471.82
  4. Step 4: Simplify right side
    238,604.16x = 46,250,928,749.14
  5. Step 5: Solve for x
    x = 46,250,928,749.14/238,604.16
  6. Step 6: Final answer
    x = 193,839.58

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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.