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Finding the Fourth Proportional to 276,096.36, 380,072.70 and 204,341.16

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Solution

The fourth proportional to 276,096.36, 380,072.70 and 204,341.16 is: 281,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,096.36 : 380,072.70 = 204,341.16 : x
  2. Step 2: Convert to fraction form
    276,096.36/380,072.70 = 204,341.16/x
  3. Step 3: Cross multiply
    276,096.36x = 380,072.70 × 204,341.16
  4. Step 4: Simplify right side
    276,096.36x = 77,664,496,402.33
  5. Step 5: Solve for x
    x = 77,664,496,402.33/276,096.36
  6. Step 6: Final answer
    x = 281,294.89

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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.