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Finding the Fourth Proportional to 192,000.36, 264,978.90 and 107,125.32

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Solution

The fourth proportional to 192,000.36, 264,978.90 and 107,125.32 is: 147,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.36 : 264,978.90 = 107,125.32 : x
  2. Step 2: Convert to fraction form
    192,000.36/264,978.90 = 107,125.32/x
  3. Step 3: Cross multiply
    192,000.36x = 264,978.90 × 107,125.32
  4. Step 4: Simplify right side
    192,000.36x = 28,385,949,455.75
  5. Step 5: Solve for x
    x = 28,385,949,455.75/192,000.36
  6. Step 6: Final answer
    x = 147,843.21

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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.