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Finding the Fourth Proportional to 102,775.64, 154,050.26 and 67,222.31

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Solution

The fourth proportional to 102,775.64, 154,050.26 and 67,222.31 is: 100,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,775.64 : 154,050.26 = 67,222.31 : x
  2. Step 2: Convert to fraction form
    102,775.64/154,050.26 = 67,222.31/x
  3. Step 3: Cross multiply
    102,775.64x = 154,050.26 × 67,222.31
  4. Step 4: Simplify right side
    102,775.64x = 10,355,613,226.94
  5. Step 5: Solve for x
    x = 10,355,613,226.94/102,775.64
  6. Step 6: Final answer
    x = 100,759.42

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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.