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Finding the Fourth Proportional to 177,796.30, 266,321.85 and 83,107.30

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Solution

The fourth proportional to 177,796.30, 266,321.85 and 83,107.30 is: 124,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796.30 : 266,321.85 = 83,107.30 : x
  2. Step 2: Convert to fraction form
    177,796.30/266,321.85 = 83,107.30/x
  3. Step 3: Cross multiply
    177,796.30x = 266,321.85 × 83,107.30
  4. Step 4: Simplify right side
    177,796.30x = 22,133,289,884.51
  5. Step 5: Solve for x
    x = 22,133,289,884.51/177,796.30
  6. Step 6: Final answer
    x = 124,486.79

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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.