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Finding the Fourth Proportional to 203,442.40, 305,163.60 and 164,076.40

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Solution

The fourth proportional to 203,442.40, 305,163.60 and 164,076.40 is: 246,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,442.40 : 305,163.60 = 164,076.40 : x
  2. Step 2: Convert to fraction form
    203,442.40/305,163.60 = 164,076.40/x
  3. Step 3: Cross multiply
    203,442.40x = 305,163.60 × 164,076.40
  4. Step 4: Simplify right side
    203,442.40x = 50,070,144,899.04
  5. Step 5: Solve for x
    x = 50,070,144,899.04/203,442.40
  6. Step 6: Final answer
    x = 246,114.60

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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.