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Finding the Fourth Proportional to 259,096.52, 388,644.77 and 101,214.26

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Solution

The fourth proportional to 259,096.52, 388,644.77 and 101,214.26 is: 151,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,096.52 : 388,644.77 = 101,214.26 : x
  2. Step 2: Convert to fraction form
    259,096.52/388,644.77 = 101,214.26/x
  3. Step 3: Cross multiply
    259,096.52x = 388,644.77 × 101,214.26
  4. Step 4: Simplify right side
    259,096.52x = 39,336,391,108.23
  5. Step 5: Solve for x
    x = 39,336,391,108.23/259,096.52
  6. Step 6: Final answer
    x = 151,821.38

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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.