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Finding the Fourth Proportional to 253,664.16, 350,076.24 and 140,497.44

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Solution

The fourth proportional to 253,664.16, 350,076.24 and 140,497.44 is: 193,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,664.16 : 350,076.24 = 140,497.44 : x
  2. Step 2: Convert to fraction form
    253,664.16/350,076.24 = 140,497.44/x
  3. Step 3: Cross multiply
    253,664.16x = 350,076.24 × 140,497.44
  4. Step 4: Simplify right side
    253,664.16x = 49,184,815,524.83
  5. Step 5: Solve for x
    x = 49,184,815,524.83/253,664.16
  6. Step 6: Final answer
    x = 193,897.38

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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.