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Finding the Fourth Proportional to 222,133.09, 306,446.32 and 130,205.78

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Solution

The fourth proportional to 222,133.09, 306,446.32 and 130,205.78 is: 179,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,133.09 : 306,446.32 = 130,205.78 : x
  2. Step 2: Convert to fraction form
    222,133.09/306,446.32 = 130,205.78/x
  3. Step 3: Cross multiply
    222,133.09x = 306,446.32 × 130,205.78
  4. Step 4: Simplify right side
    222,133.09x = 39,901,081,903.43
  5. Step 5: Solve for x
    x = 39,901,081,903.43/222,133.09
  6. Step 6: Final answer
    x = 179,626.91

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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.