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Finding the Fourth Proportional to 451,616.16, 677,469.60 and 119,192.16

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Solution

The fourth proportional to 451,616.16, 677,469.60 and 119,192.16 is: 178,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,616.16 : 677,469.60 = 119,192.16 : x
  2. Step 2: Convert to fraction form
    451,616.16/677,469.60 = 119,192.16/x
  3. Step 3: Cross multiply
    451,616.16x = 677,469.60 × 119,192.16
  4. Step 4: Simplify right side
    451,616.16x = 80,749,064,958.34
  5. Step 5: Solve for x
    x = 80,749,064,958.34/451,616.16
  6. Step 6: Final answer
    x = 178,800.21

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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.