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Finding the Fourth Proportional to 140,524.50, 210,771.23 and 35,343.51

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Solution

The fourth proportional to 140,524.50, 210,771.23 and 35,343.51 is: 53,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,524.50 : 210,771.23 = 35,343.51 : x
  2. Step 2: Convert to fraction form
    140,524.50/210,771.23 = 35,343.51/x
  3. Step 3: Cross multiply
    140,524.50x = 210,771.23 × 35,343.51
  4. Step 4: Simplify right side
    140,524.50x = 7,449,394,898.50
  5. Step 5: Solve for x
    x = 7,449,394,898.50/140,524.50
  6. Step 6: Final answer
    x = 53,011.36

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