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Finding the Fourth Proportional to 114,635.82, 171,987.89 and 54,709.28

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Solution

The fourth proportional to 114,635.82, 171,987.89 and 54,709.28 is: 82,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,635.82 : 171,987.89 = 54,709.28 : x
  2. Step 2: Convert to fraction form
    114,635.82/171,987.89 = 54,709.28/x
  3. Step 3: Cross multiply
    114,635.82x = 171,987.89 × 54,709.28
  4. Step 4: Simplify right side
    114,635.82x = 9,409,332,497.13
  5. Step 5: Solve for x
    x = 9,409,332,497.13/114,635.82
  6. Step 6: Final answer
    x = 82,080.21

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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.