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Finding the Fourth Proportional to 114,198.37, 171,308.96 and 39,308.60

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Solution

The fourth proportional to 114,198.37, 171,308.96 and 39,308.60 is: 58,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,198.37 : 171,308.96 = 39,308.60 : x
  2. Step 2: Convert to fraction form
    114,198.37/171,308.96 = 39,308.60/x
  3. Step 3: Cross multiply
    114,198.37x = 171,308.96 × 39,308.60
  4. Step 4: Simplify right side
    114,198.37x = 6,733,915,188.51
  5. Step 5: Solve for x
    x = 6,733,915,188.51/114,198.37
  6. Step 6: Final answer
    x = 58,966.83

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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.