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Finding the Fourth Proportional to 119,099.72, 164,358.06 and 65,390.24

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Solution

The fourth proportional to 119,099.72, 164,358.06 and 65,390.24 is: 90,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,099.72 : 164,358.06 = 65,390.24 : x
  2. Step 2: Convert to fraction form
    119,099.72/164,358.06 = 65,390.24/x
  3. Step 3: Cross multiply
    119,099.72x = 164,358.06 × 65,390.24
  4. Step 4: Simplify right side
    119,099.72x = 10,747,412,989.33
  5. Step 5: Solve for x
    x = 10,747,412,989.33/119,099.72
  6. Step 6: Final answer
    x = 90,238.78

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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.