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Finding the Fourth Proportional to 191,161.56, 263,816.82 and 114,684

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Solution

The fourth proportional to 191,161.56, 263,816.82 and 114,684 is: 158,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,161.56 : 263,816.82 = 114,684 : x
  2. Step 2: Convert to fraction form
    191,161.56/263,816.82 = 114,684/x
  3. Step 3: Cross multiply
    191,161.56x = 263,816.82 × 114,684
  4. Step 4: Simplify right side
    191,161.56x = 30,255,568,184.88
  5. Step 5: Solve for x
    x = 30,255,568,184.88/191,161.56
  6. Step 6: Final answer
    x = 158,272.24

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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.