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Finding the Fourth Proportional to 300,199.64, 414,274.03 and 164,231.12

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Solution

The fourth proportional to 300,199.64, 414,274.03 and 164,231.12 is: 226,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,199.64 : 414,274.03 = 164,231.12 : x
  2. Step 2: Convert to fraction form
    300,199.64/414,274.03 = 164,231.12/x
  3. Step 3: Cross multiply
    300,199.64x = 414,274.03 × 164,231.12
  4. Step 4: Simplify right side
    300,199.64x = 68,036,688,086.63
  5. Step 5: Solve for x
    x = 68,036,688,086.63/300,199.64
  6. Step 6: Final answer
    x = 226,638.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.