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Finding the Fourth Proportional to 200,990.44, 301,492.43 and 101,096.17

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Solution

The fourth proportional to 200,990.44, 301,492.43 and 101,096.17 is: 151,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,990.44 : 301,492.43 = 101,096.17 : x
  2. Step 2: Convert to fraction form
    200,990.44/301,492.43 = 101,096.17/x
  3. Step 3: Cross multiply
    200,990.44x = 301,492.43 × 101,096.17
  4. Step 4: Simplify right side
    200,990.44x = 30,479,727,944.05
  5. Step 5: Solve for x
    x = 30,479,727,944.05/200,990.44
  6. Step 6: Final answer
    x = 151,647.65

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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.