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Finding the Fourth Proportional to 206,911.77, 285,546.69 and 116,267.46

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Solution

The fourth proportional to 206,911.77, 285,546.69 and 116,267.46 is: 160,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,911.77 : 285,546.69 = 116,267.46 : x
  2. Step 2: Convert to fraction form
    206,911.77/285,546.69 = 116,267.46/x
  3. Step 3: Cross multiply
    206,911.77x = 285,546.69 × 116,267.46
  4. Step 4: Simplify right side
    206,911.77x = 33,199,788,357.71
  5. Step 5: Solve for x
    x = 33,199,788,357.71/206,911.77
  6. Step 6: Final answer
    x = 160,453.84

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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.