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Finding the Fourth Proportional to 295,120.14, 407,224.71 and 167,781.66

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Solution

The fourth proportional to 295,120.14, 407,224.71 and 167,781.66 is: 231,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,120.14 : 407,224.71 = 167,781.66 : x
  2. Step 2: Convert to fraction form
    295,120.14/407,224.71 = 167,781.66/x
  3. Step 3: Cross multiply
    295,120.14x = 407,224.71 × 167,781.66
  4. Step 4: Simplify right side
    295,120.14x = 68,324,837,836.82
  5. Step 5: Solve for x
    x = 68,324,837,836.82/295,120.14
  6. Step 6: Final answer
    x = 231,515.33

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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.