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Finding the Fourth Proportional to 140,203.98, 210,306.44 and 35,022.96

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Solution

The fourth proportional to 140,203.98, 210,306.44 and 35,022.96 is: 52,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.98 : 210,306.44 = 35,022.96 : x
  2. Step 2: Convert to fraction form
    140,203.98/210,306.44 = 35,022.96/x
  3. Step 3: Cross multiply
    140,203.98x = 210,306.44 × 35,022.96
  4. Step 4: Simplify right side
    140,203.98x = 7,365,554,035.86
  5. Step 5: Solve for x
    x = 7,365,554,035.86/140,203.98
  6. Step 6: Final answer
    x = 52,534.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.