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Finding the Fourth Proportional to 227,933.20, 341,899.80 and 214,811.20

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Solution

The fourth proportional to 227,933.20, 341,899.80 and 214,811.20 is: 322,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,933.20 : 341,899.80 = 214,811.20 : x
  2. Step 2: Convert to fraction form
    227,933.20/341,899.80 = 214,811.20/x
  3. Step 3: Cross multiply
    227,933.20x = 341,899.80 × 214,811.20
  4. Step 4: Simplify right side
    227,933.20x = 73,443,906,317.76
  5. Step 5: Solve for x
    x = 73,443,906,317.76/227,933.20
  6. Step 6: Final answer
    x = 322,216.80

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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.