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Finding the Fourth Proportional to 251,474.76, 347,017.77 and 149,494.95

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Solution

The fourth proportional to 251,474.76, 347,017.77 and 149,494.95 is: 206,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,474.76 : 347,017.77 = 149,494.95 : x
  2. Step 2: Convert to fraction form
    251,474.76/347,017.77 = 149,494.95/x
  3. Step 3: Cross multiply
    251,474.76x = 347,017.77 × 149,494.95
  4. Step 4: Simplify right side
    251,474.76x = 51,877,404,175.26
  5. Step 5: Solve for x
    x = 51,877,404,175.26/251,474.76
  6. Step 6: Final answer
    x = 206,292.69

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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.