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Finding the Fourth Proportional to 150,749.71, 208,033.53 and 82,767.82

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Solution

The fourth proportional to 150,749.71, 208,033.53 and 82,767.82 is: 114,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,749.71 : 208,033.53 = 82,767.82 : x
  2. Step 2: Convert to fraction form
    150,749.71/208,033.53 = 82,767.82/x
  3. Step 3: Cross multiply
    150,749.71x = 208,033.53 × 82,767.82
  4. Step 4: Simplify right side
    150,749.71x = 17,218,481,765.00
  5. Step 5: Solve for x
    x = 17,218,481,765.00/150,749.71
  6. Step 6: Final answer
    x = 114,219.00

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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.