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Finding the Fourth Proportional to 203,032.88, 304,548.36 and 135,422

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Solution

The fourth proportional to 203,032.88, 304,548.36 and 135,422 is: 203,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,032.88 : 304,548.36 = 135,422 : x
  2. Step 2: Convert to fraction form
    203,032.88/304,548.36 = 135,422/x
  3. Step 3: Cross multiply
    203,032.88x = 304,548.36 × 135,422
  4. Step 4: Simplify right side
    203,032.88x = 41,242,548,007.92
  5. Step 5: Solve for x
    x = 41,242,548,007.92/203,032.88
  6. Step 6: Final answer
    x = 203,132.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.