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Finding the Fourth Proportional to 218,912.32, 302,098.51 and 123,418.33

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Solution

The fourth proportional to 218,912.32, 302,098.51 and 123,418.33 is: 170,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,912.32 : 302,098.51 = 123,418.33 : x
  2. Step 2: Convert to fraction form
    218,912.32/302,098.51 = 123,418.33/x
  3. Step 3: Cross multiply
    218,912.32x = 302,098.51 × 123,418.33
  4. Step 4: Simplify right side
    218,912.32x = 37,284,494,698.02
  5. Step 5: Solve for x
    x = 37,284,494,698.02/218,912.32
  6. Step 6: Final answer
    x = 170,317.02

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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.