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Finding the Fourth Proportional to 214,971.79, 322,504.05 and 65,224.15

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Solution

The fourth proportional to 214,971.79, 322,504.05 and 65,224.15 is: 97,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,971.79 : 322,504.05 = 65,224.15 : x
  2. Step 2: Convert to fraction form
    214,971.79/322,504.05 = 65,224.15/x
  3. Step 3: Cross multiply
    214,971.79x = 322,504.05 × 65,224.15
  4. Step 4: Simplify right side
    214,971.79x = 21,035,052,532.81
  5. Step 5: Solve for x
    x = 21,035,052,532.81/214,971.79
  6. Step 6: Final answer
    x = 97,850.29

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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.