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Finding the Fourth Proportional to 253,751.86, 350,152.05 and 140,553.46

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Solution

The fourth proportional to 253,751.86, 350,152.05 and 140,553.46 is: 193,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,751.86 : 350,152.05 = 140,553.46 : x
  2. Step 2: Convert to fraction form
    253,751.86/350,152.05 = 140,553.46/x
  3. Step 3: Cross multiply
    253,751.86x = 350,152.05 × 140,553.46
  4. Step 4: Simplify right side
    253,751.86x = 49,215,082,153.59
  5. Step 5: Solve for x
    x = 49,215,082,153.59/253,751.86
  6. Step 6: Final answer
    x = 193,949.64

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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.