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Finding the Fourth Proportional to 354,120.70, 531,024.77 and 101,343.64

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Solution

The fourth proportional to 354,120.70, 531,024.77 and 101,343.64 is: 151,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,120.70 : 531,024.77 = 101,343.64 : x
  2. Step 2: Convert to fraction form
    354,120.70/531,024.77 = 101,343.64/x
  3. Step 3: Cross multiply
    354,120.70x = 531,024.77 × 101,343.64
  4. Step 4: Simplify right side
    354,120.70x = 53,815,981,052.09
  5. Step 5: Solve for x
    x = 53,815,981,052.09/354,120.70
  6. Step 6: Final answer
    x = 151,970.73

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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.