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Finding the Fourth Proportional to 206,011.82, 308,969.25 and 116,093.74

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Solution

The fourth proportional to 206,011.82, 308,969.25 and 116,093.74 is: 174,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,011.82 : 308,969.25 = 116,093.74 : x
  2. Step 2: Convert to fraction form
    206,011.82/308,969.25 = 116,093.74/x
  3. Step 3: Cross multiply
    206,011.82x = 308,969.25 × 116,093.74
  4. Step 4: Simplify right side
    206,011.82x = 35,869,395,777.50
  5. Step 5: Solve for x
    x = 35,869,395,777.50/206,011.82
  6. Step 6: Final answer
    x = 174,113.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.