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Finding the Fourth Proportional to 222,012.16, 306,370.56 and 121,408

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Solution

The fourth proportional to 222,012.16, 306,370.56 and 121,408 is: 167,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,012.16 : 306,370.56 = 121,408 : x
  2. Step 2: Convert to fraction form
    222,012.16/306,370.56 = 121,408/x
  3. Step 3: Cross multiply
    222,012.16x = 306,370.56 × 121,408
  4. Step 4: Simplify right side
    222,012.16x = 37,195,836,948.48
  5. Step 5: Solve for x
    x = 37,195,836,948.48/222,012.16
  6. Step 6: Final answer
    x = 167,539.64

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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.