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Finding the Fourth Proportional to 204,213.61, 305,693.40 and 184,968.01

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Solution

The fourth proportional to 204,213.61, 305,693.40 and 184,968.01 is: 276,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,213.61 : 305,693.40 = 184,968.01 : x
  2. Step 2: Convert to fraction form
    204,213.61/305,693.40 = 184,968.01/x
  3. Step 3: Cross multiply
    204,213.61x = 305,693.40 × 184,968.01
  4. Step 4: Simplify right side
    204,213.61x = 56,543,499,797.53
  5. Step 5: Solve for x
    x = 56,543,499,797.53/204,213.61
  6. Step 6: Final answer
    x = 276,884.09

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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.