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Finding the Fourth Proportional to 143,455, 197,967.90 and 83,839

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Solution

The fourth proportional to 143,455, 197,967.90 and 83,839 is: 115,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,455 : 197,967.90 = 83,839 : x
  2. Step 2: Convert to fraction form
    143,455/197,967.90 = 83,839/x
  3. Step 3: Cross multiply
    143,455x = 197,967.90 × 83,839
  4. Step 4: Simplify right side
    143,455x = 16,597,430,768.10
  5. Step 5: Solve for x
    x = 16,597,430,768.10/143,455
  6. Step 6: Final answer
    x = 115,697.82

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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.