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Finding the Fourth Proportional to 150,939.28, 208,296.24 and 83,871.28

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Solution

The fourth proportional to 150,939.28, 208,296.24 and 83,871.28 is: 115,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,939.28 : 208,296.24 = 83,871.28 : x
  2. Step 2: Convert to fraction form
    150,939.28/208,296.24 = 83,871.28/x
  3. Step 3: Cross multiply
    150,939.28x = 208,296.24 × 83,871.28
  4. Step 4: Simplify right side
    150,939.28x = 17,470,072,267.99
  5. Step 5: Solve for x
    x = 17,470,072,267.99/150,939.28
  6. Step 6: Final answer
    x = 115,742.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.