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Finding the Fourth Proportional to 150,751.76, 208,036.51 and 82,769.95

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Solution

The fourth proportional to 150,751.76, 208,036.51 and 82,769.95 is: 114,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,751.76 : 208,036.51 = 82,769.95 : x
  2. Step 2: Convert to fraction form
    150,751.76/208,036.51 = 82,769.95/x
  3. Step 3: Cross multiply
    150,751.76x = 208,036.51 × 82,769.95
  4. Step 4: Simplify right side
    150,751.76x = 17,219,171,530.87
  5. Step 5: Solve for x
    x = 17,219,171,530.87/150,751.76
  6. Step 6: Final answer
    x = 114,222.03

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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.