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Finding the Fourth Proportional to 222,948.96, 307,813.76 and 138,156

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Solution

The fourth proportional to 222,948.96, 307,813.76 and 138,156 is: 190,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,948.96 : 307,813.76 = 138,156 : x
  2. Step 2: Convert to fraction form
    222,948.96/307,813.76 = 138,156/x
  3. Step 3: Cross multiply
    222,948.96x = 307,813.76 × 138,156
  4. Step 4: Simplify right side
    222,948.96x = 42,526,317,826.56
  5. Step 5: Solve for x
    x = 42,526,317,826.56/222,948.96
  6. Step 6: Final answer
    x = 190,744.63

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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.