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Finding the Fourth Proportional to 137,006.16, 188,945.62 and 114,112

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Solution

The fourth proportional to 137,006.16, 188,945.62 and 114,112 is: 157,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.16 : 188,945.62 = 114,112 : x
  2. Step 2: Convert to fraction form
    137,006.16/188,945.62 = 114,112/x
  3. Step 3: Cross multiply
    137,006.16x = 188,945.62 × 114,112
  4. Step 4: Simplify right side
    137,006.16x = 21,560,962,589.44
  5. Step 5: Solve for x
    x = 21,560,962,589.44/137,006.16
  6. Step 6: Final answer
    x = 157,372.21

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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.