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Finding the Fourth Proportional to 253,731.62, 350,170.98 and 140,564.90

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Solution

The fourth proportional to 253,731.62, 350,170.98 and 140,564.90 is: 193,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,731.62 : 350,170.98 = 140,564.90 : x
  2. Step 2: Convert to fraction form
    253,731.62/350,170.98 = 140,564.90/x
  3. Step 3: Cross multiply
    253,731.62x = 350,170.98 × 140,564.90
  4. Step 4: Simplify right side
    253,731.62x = 49,221,748,786.60
  5. Step 5: Solve for x
    x = 49,221,748,786.60/253,731.62
  6. Step 6: Final answer
    x = 193,991.39

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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.