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Finding the Fourth Proportional to 512,003.75, 768,005.64 and 138,026.75

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Solution

The fourth proportional to 512,003.75, 768,005.64 and 138,026.75 is: 207,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,003.75 : 768,005.64 = 138,026.75 : x
  2. Step 2: Convert to fraction form
    512,003.75/768,005.64 = 138,026.75/x
  3. Step 3: Cross multiply
    512,003.75x = 768,005.64 × 138,026.75
  4. Step 4: Simplify right side
    512,003.75x = 106,005,322,470.87
  5. Step 5: Solve for x
    x = 106,005,322,470.87/512,003.75
  6. Step 6: Final answer
    x = 207,040.13

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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.