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Finding the Fourth Proportional to 512,064.88, 768,097.40 and 138,087.92

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Solution

The fourth proportional to 512,064.88, 768,097.40 and 138,087.92 is: 207,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,064.88 : 768,097.40 = 138,087.92 : x
  2. Step 2: Convert to fraction form
    512,064.88/768,097.40 = 138,087.92/x
  3. Step 3: Cross multiply
    512,064.88x = 768,097.40 × 138,087.92
  4. Step 4: Simplify right side
    512,064.88x = 106,064,972,323.41
  5. Step 5: Solve for x
    x = 106,064,972,323.41/512,064.88
  6. Step 6: Final answer
    x = 207,131.90

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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.