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Finding the Fourth Proportional to 206,011.32, 308,968.50 and 116,093.24

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Solution

The fourth proportional to 206,011.32, 308,968.50 and 116,093.24 is: 174,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,011.32 : 308,968.50 = 116,093.24 : x
  2. Step 2: Convert to fraction form
    206,011.32/308,968.50 = 116,093.24/x
  3. Step 3: Cross multiply
    206,011.32x = 308,968.50 × 116,093.24
  4. Step 4: Simplify right side
    206,011.32x = 35,869,154,222.94
  5. Step 5: Solve for x
    x = 35,869,154,222.94/206,011.32
  6. Step 6: Final answer
    x = 174,112.54

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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.