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Finding the Fourth Proportional to 114,188.74, 171,184.69 and 54,942.91

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Solution

The fourth proportional to 114,188.74, 171,184.69 and 54,942.91 is: 82,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,188.74 : 171,184.69 = 54,942.91 : x
  2. Step 2: Convert to fraction form
    114,188.74/171,184.69 = 54,942.91/x
  3. Step 3: Cross multiply
    114,188.74x = 171,184.69 × 54,942.91
  4. Step 4: Simplify right side
    114,188.74x = 9,405,384,656.76
  5. Step 5: Solve for x
    x = 9,405,384,656.76/114,188.74
  6. Step 6: Final answer
    x = 82,367.01

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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.