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Finding the Fourth Proportional to 114,599.76, 171,934.83 and 54,704.66

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Solution

The fourth proportional to 114,599.76, 171,934.83 and 54,704.66 is: 82,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,599.76 : 171,934.83 = 54,704.66 : x
  2. Step 2: Convert to fraction form
    114,599.76/171,934.83 = 54,704.66/x
  3. Step 3: Cross multiply
    114,599.76x = 171,934.83 × 54,704.66
  4. Step 4: Simplify right side
    114,599.76x = 9,405,636,212.17
  5. Step 5: Solve for x
    x = 9,405,636,212.17/114,599.76
  6. Step 6: Final answer
    x = 82,073.79

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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.