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Finding the Fourth Proportional to 146,857.86, 220,287 and 36,049.86

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Solution

The fourth proportional to 146,857.86, 220,287 and 36,049.86 is: 54,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857.86 : 220,287 = 36,049.86 : x
  2. Step 2: Convert to fraction form
    146,857.86/220,287 = 36,049.86/x
  3. Step 3: Cross multiply
    146,857.86x = 220,287 × 36,049.86
  4. Step 4: Simplify right side
    146,857.86x = 7,941,315,509.82
  5. Step 5: Solve for x
    x = 7,941,315,509.82/146,857.86
  6. Step 6: Final answer
    x = 54,074.84

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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.