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Finding the Fourth Proportional to 114,563.91, 171,971.52 and 91,022.73

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Solution

The fourth proportional to 114,563.91, 171,971.52 and 91,022.73 is: 136,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,563.91 : 171,971.52 = 91,022.73 : x
  2. Step 2: Convert to fraction form
    114,563.91/171,971.52 = 91,022.73/x
  3. Step 3: Cross multiply
    114,563.91x = 171,971.52 × 91,022.73
  4. Step 4: Simplify right side
    114,563.91x = 15,653,317,232.65
  5. Step 5: Solve for x
    x = 15,653,317,232.65/114,563.91
  6. Step 6: Final answer
    x = 136,633.93

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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.