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Finding the Fourth Proportional to 85,206.65, 117,593.93 and 51,226.21

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Solution

The fourth proportional to 85,206.65, 117,593.93 and 51,226.21 is: 70,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,206.65 : 117,593.93 = 51,226.21 : x
  2. Step 2: Convert to fraction form
    85,206.65/117,593.93 = 51,226.21/x
  3. Step 3: Cross multiply
    85,206.65x = 117,593.93 × 51,226.21
  4. Step 4: Simplify right side
    85,206.65x = 6,023,890,508.80
  5. Step 5: Solve for x
    x = 6,023,890,508.80/85,206.65
  6. Step 6: Final answer
    x = 70,697.42

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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.