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Finding the Fourth Proportional to 140,525.75, 210,773.10 and 35,344.76

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Solution

The fourth proportional to 140,525.75, 210,773.10 and 35,344.76 is: 53,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,525.75 : 210,773.10 = 35,344.76 : x
  2. Step 2: Convert to fraction form
    140,525.75/210,773.10 = 35,344.76/x
  3. Step 3: Cross multiply
    140,525.75x = 210,773.10 × 35,344.76
  4. Step 4: Simplify right side
    140,525.75x = 7,449,724,633.96
  5. Step 5: Solve for x
    x = 7,449,724,633.96/140,525.75
  6. Step 6: Final answer
    x = 53,013.24

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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.