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Finding the Fourth Proportional to 222,142.13, 306,237.28 and 158,369.21

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Solution

The fourth proportional to 222,142.13, 306,237.28 and 158,369.21 is: 218,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,142.13 : 306,237.28 = 158,369.21 : x
  2. Step 2: Convert to fraction form
    222,142.13/306,237.28 = 158,369.21/x
  3. Step 3: Cross multiply
    222,142.13x = 306,237.28 × 158,369.21
  4. Step 4: Simplify right side
    222,142.13x = 48,498,556,106.15
  5. Step 5: Solve for x
    x = 48,498,556,106.15/222,142.13
  6. Step 6: Final answer
    x = 218,322.19

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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.