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Finding the Fourth Proportional to 206,625.84, 285,147.87 and 115,988.34

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Solution

The fourth proportional to 206,625.84, 285,147.87 and 115,988.34 is: 160,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,625.84 : 285,147.87 = 115,988.34 : x
  2. Step 2: Convert to fraction form
    206,625.84/285,147.87 = 115,988.34/x
  3. Step 3: Cross multiply
    206,625.84x = 285,147.87 × 115,988.34
  4. Step 4: Simplify right side
    206,625.84x = 33,073,828,095.84
  5. Step 5: Solve for x
    x = 33,073,828,095.84/206,625.84
  6. Step 6: Final answer
    x = 160,066.27

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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.