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Finding the Fourth Proportional to 160,092.30, 240,179.93 and 85,150.77

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Solution

The fourth proportional to 160,092.30, 240,179.93 and 85,150.77 is: 127,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,092.30 : 240,179.93 = 85,150.77 : x
  2. Step 2: Convert to fraction form
    160,092.30/240,179.93 = 85,150.77/x
  3. Step 3: Cross multiply
    160,092.30x = 240,179.93 × 85,150.77
  4. Step 4: Simplify right side
    160,092.30x = 20,451,505,978.05
  5. Step 5: Solve for x
    x = 20,451,505,978.05/160,092.30
  6. Step 6: Final answer
    x = 127,748.22

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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.