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Finding the Fourth Proportional to 192,014.64, 264,992.94 and 107,133.54

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Solution

The fourth proportional to 192,014.64, 264,992.94 and 107,133.54 is: 147,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,014.64 : 264,992.94 = 107,133.54 : x
  2. Step 2: Convert to fraction form
    192,014.64/264,992.94 = 107,133.54/x
  3. Step 3: Cross multiply
    192,014.64x = 264,992.94 × 107,133.54
  4. Step 4: Simplify right side
    192,014.64x = 28,389,631,737.21
  5. Step 5: Solve for x
    x = 28,389,631,737.21/192,014.64
  6. Step 6: Final answer
    x = 147,851.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.