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Finding the Fourth Proportional to 218,911.36, 302,093.64 and 123,418.13

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Solution

The fourth proportional to 218,911.36, 302,093.64 and 123,418.13 is: 170,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,911.36 : 302,093.64 = 123,418.13 : x
  2. Step 2: Convert to fraction form
    218,911.36/302,093.64 = 123,418.13/x
  3. Step 3: Cross multiply
    218,911.36x = 302,093.64 × 123,418.13
  4. Step 4: Simplify right side
    218,911.36x = 37,283,832,888.93
  5. Step 5: Solve for x
    x = 37,283,832,888.93/218,911.36
  6. Step 6: Final answer
    x = 170,314.75

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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.