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Finding the Fourth Proportional to 222,142.28, 306,564 and 121,540.28

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Solution

The fourth proportional to 222,142.28, 306,564 and 121,540.28 is: 167,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,142.28 : 306,564 = 121,540.28 : x
  2. Step 2: Convert to fraction form
    222,142.28/306,564 = 121,540.28/x
  3. Step 3: Cross multiply
    222,142.28x = 306,564 × 121,540.28
  4. Step 4: Simplify right side
    222,142.28x = 37,259,874,397.92
  5. Step 5: Solve for x
    x = 37,259,874,397.92/222,142.28
  6. Step 6: Final answer
    x = 167,729.77

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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.