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Finding the Fourth Proportional to 146,858.86, 220,288.50 and 36,050.86

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Solution

The fourth proportional to 146,858.86, 220,288.50 and 36,050.86 is: 54,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,858.86 : 220,288.50 = 36,050.86 : x
  2. Step 2: Convert to fraction form
    146,858.86/220,288.50 = 36,050.86/x
  3. Step 3: Cross multiply
    146,858.86x = 220,288.50 × 36,050.86
  4. Step 4: Simplify right side
    146,858.86x = 7,941,589,873.11
  5. Step 5: Solve for x
    x = 7,941,589,873.11/146,858.86
  6. Step 6: Final answer
    x = 54,076.34

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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.