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Finding the Fourth Proportional to 189,102.20, 283,361.70 and 164,024.60

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Solution

The fourth proportional to 189,102.20, 283,361.70 and 164,024.60 is: 245,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.20 : 283,361.70 = 164,024.60 : x
  2. Step 2: Convert to fraction form
    189,102.20/283,361.70 = 164,024.60/x
  3. Step 3: Cross multiply
    189,102.20x = 283,361.70 × 164,024.60
  4. Step 4: Simplify right side
    189,102.20x = 46,478,289,497.82
  5. Step 5: Solve for x
    x = 46,478,289,497.82/189,102.20
  6. Step 6: Final answer
    x = 245,783.97

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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.