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Finding the Fourth Proportional to 211,495.96, 291,879.27 and 120,865.32

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Solution

The fourth proportional to 211,495.96, 291,879.27 and 120,865.32 is: 166,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,495.96 : 291,879.27 = 120,865.32 : x
  2. Step 2: Convert to fraction form
    211,495.96/291,879.27 = 120,865.32/x
  3. Step 3: Cross multiply
    211,495.96x = 291,879.27 × 120,865.32
  4. Step 4: Simplify right side
    211,495.96x = 35,278,079,910.52
  5. Step 5: Solve for x
    x = 35,278,079,910.52/211,495.96
  6. Step 6: Final answer
    x = 166,802.62

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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.