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Finding the Fourth Proportional to 192,005.36, 264,968.16 and 107,126

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Solution

The fourth proportional to 192,005.36, 264,968.16 and 107,126 is: 147,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,005.36 : 264,968.16 = 107,126 : x
  2. Step 2: Convert to fraction form
    192,005.36/264,968.16 = 107,126/x
  3. Step 3: Cross multiply
    192,005.36x = 264,968.16 × 107,126
  4. Step 4: Simplify right side
    192,005.36x = 28,384,979,108.16
  5. Step 5: Solve for x
    x = 28,384,979,108.16/192,005.36
  6. Step 6: Final answer
    x = 147,834.31

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