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Finding the Fourth Proportional to 216,019, 324,014.74 and 81,056.44

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Solution

The fourth proportional to 216,019, 324,014.74 and 81,056.44 is: 121,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,019 : 324,014.74 = 81,056.44 : x
  2. Step 2: Convert to fraction form
    216,019/324,014.74 = 81,056.44/x
  3. Step 3: Cross multiply
    216,019x = 324,014.74 × 81,056.44
  4. Step 4: Simplify right side
    216,019x = 26,263,481,331.93
  5. Step 5: Solve for x
    x = 26,263,481,331.93/216,019
  6. Step 6: Final answer
    x = 121,579.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.