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Finding the Fourth Proportional to 261,640.48, 361,053.84 and 148,456.48

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Solution

The fourth proportional to 261,640.48, 361,053.84 and 148,456.48 is: 204,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.48 : 361,053.84 = 148,456.48 : x
  2. Step 2: Convert to fraction form
    261,640.48/361,053.84 = 148,456.48/x
  3. Step 3: Cross multiply
    261,640.48x = 361,053.84 × 148,456.48
  4. Step 4: Simplify right side
    261,640.48x = 53,600,782,176.88
  5. Step 5: Solve for x
    x = 53,600,782,176.88/261,640.48
  6. Step 6: Final answer
    x = 204,864.26

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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.