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Finding the Fourth Proportional to 222,272.10, 306,794.79 and 137,341.17

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Solution

The fourth proportional to 222,272.10, 306,794.79 and 137,341.17 is: 189,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,272.10 : 306,794.79 = 137,341.17 : x
  2. Step 2: Convert to fraction form
    222,272.10/306,794.79 = 137,341.17/x
  3. Step 3: Cross multiply
    222,272.10x = 306,794.79 × 137,341.17
  4. Step 4: Simplify right side
    222,272.10x = 42,135,555,408.50
  5. Step 5: Solve for x
    x = 42,135,555,408.50/222,272.10
  6. Step 6: Final answer
    x = 189,567.45

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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.