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Finding the Fourth Proportional to 210,099.36, 315,269.04 and 76,962

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Solution

The fourth proportional to 210,099.36, 315,269.04 and 76,962 is: 115,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,099.36 : 315,269.04 = 76,962 : x
  2. Step 2: Convert to fraction form
    210,099.36/315,269.04 = 76,962/x
  3. Step 3: Cross multiply
    210,099.36x = 315,269.04 × 76,962
  4. Step 4: Simplify right side
    210,099.36x = 24,263,735,856.48
  5. Step 5: Solve for x
    x = 24,263,735,856.48/210,099.36
  6. Step 6: Final answer
    x = 115,486.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.