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Finding the Fourth Proportional to 223,635, 308,616.30 and 123,030.84

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Solution

The fourth proportional to 223,635, 308,616.30 and 123,030.84 is: 169,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,635 : 308,616.30 = 123,030.84 : x
  2. Step 2: Convert to fraction form
    223,635/308,616.30 = 123,030.84/x
  3. Step 3: Cross multiply
    223,635x = 308,616.30 × 123,030.84
  4. Step 4: Simplify right side
    223,635x = 37,969,322,626.69
  5. Step 5: Solve for x
    x = 37,969,322,626.69/223,635
  6. Step 6: Final answer
    x = 169,782.56

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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.