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Finding the Fourth Proportional to 202,434, 303,443.64 and 84,174

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Solution

The fourth proportional to 202,434, 303,443.64 and 84,174 is: 126,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434 : 303,443.64 = 84,174 : x
  2. Step 2: Convert to fraction form
    202,434/303,443.64 = 84,174/x
  3. Step 3: Cross multiply
    202,434x = 303,443.64 × 84,174
  4. Step 4: Simplify right side
    202,434x = 25,542,064,953.36
  5. Step 5: Solve for x
    x = 25,542,064,953.36/202,434
  6. Step 6: Final answer
    x = 126,174.78

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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.