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Finding the Fourth Proportional to 114,083.94, 171,053.01 and 54,801.66

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Solution

The fourth proportional to 114,083.94, 171,053.01 and 54,801.66 is: 82,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,083.94 : 171,053.01 = 54,801.66 : x
  2. Step 2: Convert to fraction form
    114,083.94/171,053.01 = 54,801.66/x
  3. Step 3: Cross multiply
    114,083.94x = 171,053.01 × 54,801.66
  4. Step 4: Simplify right side
    114,083.94x = 9,373,988,896.00
  5. Step 5: Solve for x
    x = 9,373,988,896.00/114,083.94
  6. Step 6: Final answer
    x = 82,167.47

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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.