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Finding the Fourth Proportional to 202,984.89, 304,497.83 and 69,847.62

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Solution

The fourth proportional to 202,984.89, 304,497.83 and 69,847.62 is: 104,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.89 : 304,497.83 = 69,847.62 : x
  2. Step 2: Convert to fraction form
    202,984.89/304,497.83 = 69,847.62/x
  3. Step 3: Cross multiply
    202,984.89x = 304,497.83 × 69,847.62
  4. Step 4: Simplify right side
    202,984.89x = 21,268,447,753.42
  5. Step 5: Solve for x
    x = 21,268,447,753.42/202,984.89
  6. Step 6: Final answer
    x = 104,778.48

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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.