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Finding the Fourth Proportional to 171,813, 257,724.36 and 47,154

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Solution

The fourth proportional to 171,813, 257,724.36 and 47,154 is: 70,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813 : 257,724.36 = 47,154 : x
  2. Step 2: Convert to fraction form
    171,813/257,724.36 = 47,154/x
  3. Step 3: Cross multiply
    171,813x = 257,724.36 × 47,154
  4. Step 4: Simplify right side
    171,813x = 12,152,734,471.44
  5. Step 5: Solve for x
    x = 12,152,734,471.44/171,813
  6. Step 6: Final answer
    x = 70,732.33

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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.