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Finding the Fourth Proportional to 614,099.42, 921,022.09 and 164,713.37

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Solution

The fourth proportional to 614,099.42, 921,022.09 and 164,713.37 is: 247,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,099.42 : 921,022.09 = 164,713.37 : x
  2. Step 2: Convert to fraction form
    614,099.42/921,022.09 = 164,713.37/x
  3. Step 3: Cross multiply
    614,099.42x = 921,022.09 × 164,713.37
  4. Step 4: Simplify right side
    614,099.42x = 151,704,646,859.67
  5. Step 5: Solve for x
    x = 151,704,646,859.67/614,099.42
  6. Step 6: Final answer
    x = 247,035.97

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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.