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Finding the Fourth Proportional to 211,954.32, 317,942.01 and 54,184.14

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Solution

The fourth proportional to 211,954.32, 317,942.01 and 54,184.14 is: 81,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,954.32 : 317,942.01 = 54,184.14 : x
  2. Step 2: Convert to fraction form
    211,954.32/317,942.01 = 54,184.14/x
  3. Step 3: Cross multiply
    211,954.32x = 317,942.01 × 54,184.14
  4. Step 4: Simplify right side
    211,954.32x = 17,227,414,381.72
  5. Step 5: Solve for x
    x = 17,227,414,381.72/211,954.32
  6. Step 6: Final answer
    x = 81,278.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.