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Finding the Fourth Proportional to 233,103.48, 321,733.74 and 148,203.96

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Solution

The fourth proportional to 233,103.48, 321,733.74 and 148,203.96 is: 204,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,103.48 : 321,733.74 = 148,203.96 : x
  2. Step 2: Convert to fraction form
    233,103.48/321,733.74 = 148,203.96/x
  3. Step 3: Cross multiply
    233,103.48x = 321,733.74 × 148,203.96
  4. Step 4: Simplify right side
    233,103.48x = 47,682,214,333.61
  5. Step 5: Solve for x
    x = 47,682,214,333.61/233,103.48
  6. Step 6: Final answer
    x = 204,553.85

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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.