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Finding the Fourth Proportional to 143,239.90, 197,676.22 and 82,829.50

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Solution

The fourth proportional to 143,239.90, 197,676.22 and 82,829.50 is: 114,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,239.90 : 197,676.22 = 82,829.50 : x
  2. Step 2: Convert to fraction form
    143,239.90/197,676.22 = 82,829.50/x
  3. Step 3: Cross multiply
    143,239.90x = 197,676.22 × 82,829.50
  4. Step 4: Simplify right side
    143,239.90x = 16,373,422,464.49
  5. Step 5: Solve for x
    x = 16,373,422,464.49/143,239.90
  6. Step 6: Final answer
    x = 114,307.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.