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Finding the Fourth Proportional to 85,206.96, 117,585.84 and 51,234.90

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Solution

The fourth proportional to 85,206.96, 117,585.84 and 51,234.90 is: 70,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,206.96 : 117,585.84 = 51,234.90 : x
  2. Step 2: Convert to fraction form
    85,206.96/117,585.84 = 51,234.90/x
  3. Step 3: Cross multiply
    85,206.96x = 117,585.84 × 51,234.90
  4. Step 4: Simplify right side
    85,206.96x = 6,024,498,497.64
  5. Step 5: Solve for x
    x = 6,024,498,497.64/85,206.96
  6. Step 6: Final answer
    x = 70,704.30

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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.