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Finding the Fourth Proportional to 219,584.16, 302,830.56 and 171,198

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Solution

The fourth proportional to 219,584.16, 302,830.56 and 171,198 is: 236,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,584.16 : 302,830.56 = 171,198 : x
  2. Step 2: Convert to fraction form
    219,584.16/302,830.56 = 171,198/x
  3. Step 3: Cross multiply
    219,584.16x = 302,830.56 × 171,198
  4. Step 4: Simplify right side
    219,584.16x = 51,843,986,210.88
  5. Step 5: Solve for x
    x = 51,843,986,210.88/219,584.16
  6. Step 6: Final answer
    x = 236,100.76

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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.