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Finding the Fourth Proportional to 206,841.21, 285,425.49 and 116,212.26

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Solution

The fourth proportional to 206,841.21, 285,425.49 and 116,212.26 is: 160,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,841.21 : 285,425.49 = 116,212.26 : x
  2. Step 2: Convert to fraction form
    206,841.21/285,425.49 = 116,212.26/x
  3. Step 3: Cross multiply
    206,841.21x = 285,425.49 × 116,212.26
  4. Step 4: Simplify right side
    206,841.21x = 33,169,941,254.51
  5. Step 5: Solve for x
    x = 33,169,941,254.51/206,841.21
  6. Step 6: Final answer
    x = 160,364.28

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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.