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Finding the Fourth Proportional to 164,605.43, 227,148 and 103,383.23

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Solution

The fourth proportional to 164,605.43, 227,148 and 103,383.23 is: 142,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,605.43 : 227,148 = 103,383.23 : x
  2. Step 2: Convert to fraction form
    164,605.43/227,148 = 103,383.23/x
  3. Step 3: Cross multiply
    164,605.43x = 227,148 × 103,383.23
  4. Step 4: Simplify right side
    164,605.43x = 23,483,293,928.04
  5. Step 5: Solve for x
    x = 23,483,293,928.04/164,605.43
  6. Step 6: Final answer
    x = 142,664.15

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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.