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Finding the Fourth Proportional to 295,338.12, 407,566.62 and 161,202.12

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Solution

The fourth proportional to 295,338.12, 407,566.62 and 161,202.12 is: 222,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,338.12 : 407,566.62 = 161,202.12 : x
  2. Step 2: Convert to fraction form
    295,338.12/407,566.62 = 161,202.12/x
  3. Step 3: Cross multiply
    295,338.12x = 407,566.62 × 161,202.12
  4. Step 4: Simplify right side
    295,338.12x = 65,700,603,185.23
  5. Step 5: Solve for x
    x = 65,700,603,185.23/295,338.12
  6. Step 6: Final answer
    x = 222,458.93

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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.