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Finding the Fourth Proportional to 253,744.62, 350,188.92 and 140,577.90

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Solution

The fourth proportional to 253,744.62, 350,188.92 and 140,577.90 is: 194,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,744.62 : 350,188.92 = 140,577.90 : x
  2. Step 2: Convert to fraction form
    253,744.62/350,188.92 = 140,577.90/x
  3. Step 3: Cross multiply
    253,744.62x = 350,188.92 × 140,577.90
  4. Step 4: Simplify right side
    253,744.62x = 49,228,822,976.87
  5. Step 5: Solve for x
    x = 49,228,822,976.87/253,744.62
  6. Step 6: Final answer
    x = 194,009.33

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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.