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Finding the Fourth Proportional to 102,850.16, 154,294.54 and 46,694.21

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Solution

The fourth proportional to 102,850.16, 154,294.54 and 46,694.21 is: 70,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,850.16 : 154,294.54 = 46,694.21 : x
  2. Step 2: Convert to fraction form
    102,850.16/154,294.54 = 46,694.21/x
  3. Step 3: Cross multiply
    102,850.16x = 154,294.54 × 46,694.21
  4. Step 4: Simplify right side
    102,850.16x = 7,204,660,764.41
  5. Step 5: Solve for x
    x = 7,204,660,764.41/102,850.16
  6. Step 6: Final answer
    x = 70,050.07

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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.