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Finding the Fourth Proportional to 222,302.57, 306,694.97 and 145,864.10

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Solution

The fourth proportional to 222,302.57, 306,694.97 and 145,864.10 is: 201,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,302.57 : 306,694.97 = 145,864.10 : x
  2. Step 2: Convert to fraction form
    222,302.57/306,694.97 = 145,864.10/x
  3. Step 3: Cross multiply
    222,302.57x = 306,694.97 × 145,864.10
  4. Step 4: Simplify right side
    222,302.57x = 44,735,786,023.99
  5. Step 5: Solve for x
    x = 44,735,786,023.99/222,302.57
  6. Step 6: Final answer
    x = 201,238.28

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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.