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Finding the Fourth Proportional to 253,647.30, 350,033.13 and 140,469.96

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Solution

The fourth proportional to 253,647.30, 350,033.13 and 140,469.96 is: 193,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,647.30 : 350,033.13 = 140,469.96 : x
  2. Step 2: Convert to fraction form
    253,647.30/350,033.13 = 140,469.96/x
  3. Step 3: Cross multiply
    253,647.30x = 350,033.13 × 140,469.96
  4. Step 4: Simplify right side
    253,647.30x = 49,169,139,769.77
  5. Step 5: Solve for x
    x = 49,169,139,769.77/253,647.30
  6. Step 6: Final answer
    x = 193,848.47

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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.