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Finding the Fourth Proportional to 261,249.06, 360,523.80 and 148,072.62

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Solution

The fourth proportional to 261,249.06, 360,523.80 and 148,072.62 is: 204,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,249.06 : 360,523.80 = 148,072.62 : x
  2. Step 2: Convert to fraction form
    261,249.06/360,523.80 = 148,072.62/x
  3. Step 3: Cross multiply
    261,249.06x = 360,523.80 × 148,072.62
  4. Step 4: Simplify right side
    261,249.06x = 53,383,703,638.36
  5. Step 5: Solve for x
    x = 53,383,703,638.36/261,249.06
  6. Step 6: Final answer
    x = 204,340.27

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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.