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Finding the Fourth Proportional to 143,421.84, 197,918.64 and 82,984.10

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Solution

The fourth proportional to 143,421.84, 197,918.64 and 82,984.10 is: 114,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,421.84 : 197,918.64 = 82,984.10 : x
  2. Step 2: Convert to fraction form
    143,421.84/197,918.64 = 82,984.10/x
  3. Step 3: Cross multiply
    143,421.84x = 197,918.64 × 82,984.10
  4. Step 4: Simplify right side
    143,421.84x = 16,424,099,224.03
  5. Step 5: Solve for x
    x = 16,424,099,224.03/143,421.84
  6. Step 6: Final answer
    x = 114,516.03

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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.