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Finding the Fourth Proportional to 254,175.66, 350,762.82 and 140,998.41

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Solution

The fourth proportional to 254,175.66, 350,762.82 and 140,998.41 is: 194,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,175.66 : 350,762.82 = 140,998.41 : x
  2. Step 2: Convert to fraction form
    254,175.66/350,762.82 = 140,998.41/x
  3. Step 3: Cross multiply
    254,175.66x = 350,762.82 × 140,998.41
  4. Step 4: Simplify right side
    254,175.66x = 49,456,999,907.12
  5. Step 5: Solve for x
    x = 49,456,999,907.12/254,175.66
  6. Step 6: Final answer
    x = 194,578.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.