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Finding the Fourth Proportional to 114,012.01, 171,054.92 and 54,839.98

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Solution

The fourth proportional to 114,012.01, 171,054.92 and 54,839.98 is: 82,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,012.01 : 171,054.92 = 54,839.98 : x
  2. Step 2: Convert to fraction form
    114,012.01/171,054.92 = 54,839.98/x
  3. Step 3: Cross multiply
    114,012.01x = 171,054.92 × 54,839.98
  4. Step 4: Simplify right side
    114,012.01x = 9,380,648,391.70
  5. Step 5: Solve for x
    x = 9,380,648,391.70/114,012.01
  6. Step 6: Final answer
    x = 82,277.72

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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.