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Finding the Fourth Proportional to 173,067.30, 259,163.55 and 138,075.30

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Solution

The fourth proportional to 173,067.30, 259,163.55 and 138,075.30 is: 206,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,067.30 : 259,163.55 = 138,075.30 : x
  2. Step 2: Convert to fraction form
    173,067.30/259,163.55 = 138,075.30/x
  3. Step 3: Cross multiply
    173,067.30x = 259,163.55 × 138,075.30
  4. Step 4: Simplify right side
    173,067.30x = 35,784,084,915.32
  5. Step 5: Solve for x
    x = 35,784,084,915.32/173,067.30
  6. Step 6: Final answer
    x = 206,763.99

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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.