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Finding the Fourth Proportional to 146,855.86, 220,284 and 36,047.86

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Solution

The fourth proportional to 146,855.86, 220,284 and 36,047.86 is: 54,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,855.86 : 220,284 = 36,047.86 : x
  2. Step 2: Convert to fraction form
    146,855.86/220,284 = 36,047.86/x
  3. Step 3: Cross multiply
    146,855.86x = 220,284 × 36,047.86
  4. Step 4: Simplify right side
    146,855.86x = 7,940,766,792.24
  5. Step 5: Solve for x
    x = 7,940,766,792.24/146,855.86
  6. Step 6: Final answer
    x = 54,071.84

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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.