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Finding the Fourth Proportional to 199,714.50, 275,606.82 and 109,072.26

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Solution

The fourth proportional to 199,714.50, 275,606.82 and 109,072.26 is: 150,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,714.50 : 275,606.82 = 109,072.26 : x
  2. Step 2: Convert to fraction form
    199,714.50/275,606.82 = 109,072.26/x
  3. Step 3: Cross multiply
    199,714.50x = 275,606.82 × 109,072.26
  4. Step 4: Simplify right side
    199,714.50x = 30,061,058,728.81
  5. Step 5: Solve for x
    x = 30,061,058,728.81/199,714.50
  6. Step 6: Final answer
    x = 150,520.16

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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.