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Finding the Fourth Proportional to 143,213.40, 214,820.10 and 73,229.40

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Solution

The fourth proportional to 143,213.40, 214,820.10 and 73,229.40 is: 109,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,213.40 : 214,820.10 = 73,229.40 : x
  2. Step 2: Convert to fraction form
    143,213.40/214,820.10 = 73,229.40/x
  3. Step 3: Cross multiply
    143,213.40x = 214,820.10 × 73,229.40
  4. Step 4: Simplify right side
    143,213.40x = 15,731,147,030.94
  5. Step 5: Solve for x
    x = 15,731,147,030.94/143,213.40
  6. Step 6: Final answer
    x = 109,844.10

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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.