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Finding the Fourth Proportional to 222,424.98, 307,021.29 and 135,209.76

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Solution

The fourth proportional to 222,424.98, 307,021.29 and 135,209.76 is: 186,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,424.98 : 307,021.29 = 135,209.76 : x
  2. Step 2: Convert to fraction form
    222,424.98/307,021.29 = 135,209.76/x
  3. Step 3: Cross multiply
    222,424.98x = 307,021.29 × 135,209.76
  4. Step 4: Simplify right side
    222,424.98x = 41,512,274,935.79
  5. Step 5: Solve for x
    x = 41,512,274,935.79/222,424.98
  6. Step 6: Final answer
    x = 186,634.95

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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.