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Finding the Fourth Proportional to 259,494.52, 389,103.30 and 133,083.46

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Solution

The fourth proportional to 259,494.52, 389,103.30 and 133,083.46 is: 199,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,494.52 : 389,103.30 = 133,083.46 : x
  2. Step 2: Convert to fraction form
    259,494.52/389,103.30 = 133,083.46/x
  3. Step 3: Cross multiply
    259,494.52x = 389,103.30 × 133,083.46
  4. Step 4: Simplify right side
    259,494.52x = 51,783,213,461.42
  5. Step 5: Solve for x
    x = 51,783,213,461.42/259,494.52
  6. Step 6: Final answer
    x = 199,554.17

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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.