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Finding the Fourth Proportional to 167,588.52, 251,464.73 and 78,850.86

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Solution

The fourth proportional to 167,588.52, 251,464.73 and 78,850.86 is: 118,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,588.52 : 251,464.73 = 78,850.86 : x
  2. Step 2: Convert to fraction form
    167,588.52/251,464.73 = 78,850.86/x
  3. Step 3: Cross multiply
    167,588.52x = 251,464.73 × 78,850.86
  4. Step 4: Simplify right side
    167,588.52x = 19,828,209,825.91
  5. Step 5: Solve for x
    x = 19,828,209,825.91/167,588.52
  6. Step 6: Final answer
    x = 118,314.85

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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.