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Finding the Fourth Proportional to 97,049.98, 133,213.43 and 86,202.46

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Solution

The fourth proportional to 97,049.98, 133,213.43 and 86,202.46 is: 118,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,049.98 : 133,213.43 = 86,202.46 : x
  2. Step 2: Convert to fraction form
    97,049.98/133,213.43 = 86,202.46/x
  3. Step 3: Cross multiply
    97,049.98x = 133,213.43 × 86,202.46
  4. Step 4: Simplify right side
    97,049.98x = 11,483,325,371.04
  5. Step 5: Solve for x
    x = 11,483,325,371.04/97,049.98
  6. Step 6: Final answer
    x = 118,323.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.