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Finding the Fourth Proportional to 218,968.44, 302,087.64 and 154,531.20

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Solution

The fourth proportional to 218,968.44, 302,087.64 and 154,531.20 is: 213,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,968.44 : 302,087.64 = 154,531.20 : x
  2. Step 2: Convert to fraction form
    218,968.44/302,087.64 = 154,531.20/x
  3. Step 3: Cross multiply
    218,968.44x = 302,087.64 × 154,531.20
  4. Step 4: Simplify right side
    218,968.44x = 46,681,965,514.37
  5. Step 5: Solve for x
    x = 46,681,965,514.37/218,968.44
  6. Step 6: Final answer
    x = 213,190.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.