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Finding the Fourth Proportional to 203,989.53, 305,984.24 and 63,748.16

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Solution

The fourth proportional to 203,989.53, 305,984.24 and 63,748.16 is: 95,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,989.53 : 305,984.24 = 63,748.16 : x
  2. Step 2: Convert to fraction form
    203,989.53/305,984.24 = 63,748.16/x
  3. Step 3: Cross multiply
    203,989.53x = 305,984.24 × 63,748.16
  4. Step 4: Simplify right side
    203,989.53x = 19,505,932,289.00
  5. Step 5: Solve for x
    x = 19,505,932,289.00/203,989.53
  6. Step 6: Final answer
    x = 95,622.22

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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.