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Finding the Fourth Proportional to 239,055.78, 329,893.38 and 142,327.20

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Solution

The fourth proportional to 239,055.78, 329,893.38 and 142,327.20 is: 196,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,055.78 : 329,893.38 = 142,327.20 : x
  2. Step 2: Convert to fraction form
    239,055.78/329,893.38 = 142,327.20/x
  3. Step 3: Cross multiply
    239,055.78x = 329,893.38 × 142,327.20
  4. Step 4: Simplify right side
    239,055.78x = 46,952,801,073.94
  5. Step 5: Solve for x
    x = 46,952,801,073.94/239,055.78
  6. Step 6: Final answer
    x = 196,409.39

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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.