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Finding the Fourth Proportional to 114,653.78, 171,939.74 and 47,166.09

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Solution

The fourth proportional to 114,653.78, 171,939.74 and 47,166.09 is: 70,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,653.78 : 171,939.74 = 47,166.09 : x
  2. Step 2: Convert to fraction form
    114,653.78/171,939.74 = 47,166.09/x
  3. Step 3: Cross multiply
    114,653.78x = 171,939.74 × 47,166.09
  4. Step 4: Simplify right side
    114,653.78x = 8,109,725,015.59
  5. Step 5: Solve for x
    x = 8,109,725,015.59/114,653.78
  6. Step 6: Final answer
    x = 70,732.30

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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.