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Finding the Fourth Proportional to 172,131.90, 258,205.14 and 53,805.48

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Solution

The fourth proportional to 172,131.90, 258,205.14 and 53,805.48 is: 80,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,131.90 : 258,205.14 = 53,805.48 : x
  2. Step 2: Convert to fraction form
    172,131.90/258,205.14 = 53,805.48/x
  3. Step 3: Cross multiply
    172,131.90x = 258,205.14 × 53,805.48
  4. Step 4: Simplify right side
    172,131.90x = 13,892,851,496.17
  5. Step 5: Solve for x
    x = 13,892,851,496.17/172,131.90
  6. Step 6: Final answer
    x = 80,710.50

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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.