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Finding the Fourth Proportional to 201,116.46, 301,674.63 and 51,351.40

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Solution

The fourth proportional to 201,116.46, 301,674.63 and 51,351.40 is: 77,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.46 : 301,674.63 = 51,351.40 : x
  2. Step 2: Convert to fraction form
    201,116.46/301,674.63 = 51,351.40/x
  3. Step 3: Cross multiply
    201,116.46x = 301,674.63 × 51,351.40
  4. Step 4: Simplify right side
    201,116.46x = 15,491,414,594.98
  5. Step 5: Solve for x
    x = 15,491,414,594.98/201,116.46
  6. Step 6: Final answer
    x = 77,027.08

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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.