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Finding the Fourth Proportional to 143,321.70, 214,723.35 and 116,883.30

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Solution

The fourth proportional to 143,321.70, 214,723.35 and 116,883.30 is: 175,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,321.70 : 214,723.35 = 116,883.30 : x
  2. Step 2: Convert to fraction form
    143,321.70/214,723.35 = 116,883.30/x
  3. Step 3: Cross multiply
    143,321.70x = 214,723.35 × 116,883.30
  4. Step 4: Simplify right side
    143,321.70x = 25,097,573,735.06
  5. Step 5: Solve for x
    x = 25,097,573,735.06/143,321.70
  6. Step 6: Final answer
    x = 175,113.56

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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.