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Finding the Fourth Proportional to 130,419.08, 195,636.30 and 36,917

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Solution

The fourth proportional to 130,419.08, 195,636.30 and 36,917 is: 55,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,419.08 : 195,636.30 = 36,917 : x
  2. Step 2: Convert to fraction form
    130,419.08/195,636.30 = 36,917/x
  3. Step 3: Cross multiply
    130,419.08x = 195,636.30 × 36,917
  4. Step 4: Simplify right side
    130,419.08x = 7,222,305,287.10
  5. Step 5: Solve for x
    x = 7,222,305,287.10/130,419.08
  6. Step 6: Final answer
    x = 55,377.67

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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.