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Finding the Fourth Proportional to 130,414.64, 195,489.60 and 74,138.48

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Solution

The fourth proportional to 130,414.64, 195,489.60 and 74,138.48 is: 111,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,414.64 : 195,489.60 = 74,138.48 : x
  2. Step 2: Convert to fraction form
    130,414.64/195,489.60 = 74,138.48/x
  3. Step 3: Cross multiply
    130,414.64x = 195,489.60 × 74,138.48
  4. Step 4: Simplify right side
    130,414.64x = 14,493,301,799.81
  5. Step 5: Solve for x
    x = 14,493,301,799.81/130,414.64
  6. Step 6: Final answer
    x = 111,132.48

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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.