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Finding the Fourth Proportional to 222,946.95, 307,922.34 and 146,806.41

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Solution

The fourth proportional to 222,946.95, 307,922.34 and 146,806.41 is: 202,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,946.95 : 307,922.34 = 146,806.41 : x
  2. Step 2: Convert to fraction form
    222,946.95/307,922.34 = 146,806.41/x
  3. Step 3: Cross multiply
    222,946.95x = 307,922.34 × 146,806.41
  4. Step 4: Simplify right side
    222,946.95x = 45,204,973,294.20
  5. Step 5: Solve for x
    x = 45,204,973,294.20/222,946.95
  6. Step 6: Final answer
    x = 202,761.12

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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.