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Finding the Fourth Proportional to 199,611, 275,463.36 and 110,187

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Solution

The fourth proportional to 199,611, 275,463.36 and 110,187 is: 152,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 275,463.36 = 110,187 : x
  2. Step 2: Convert to fraction form
    199,611/275,463.36 = 110,187/x
  3. Step 3: Cross multiply
    199,611x = 275,463.36 × 110,187
  4. Step 4: Simplify right side
    199,611x = 30,352,481,248.32
  5. Step 5: Solve for x
    x = 30,352,481,248.32/199,611
  6. Step 6: Final answer
    x = 152,058.16

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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.