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Finding the Fourth Proportional to 130,601.10, 180,229.95 and 74,016.30

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Solution

The fourth proportional to 130,601.10, 180,229.95 and 74,016.30 is: 102,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,601.10 : 180,229.95 = 74,016.30 : x
  2. Step 2: Convert to fraction form
    130,601.10/180,229.95 = 74,016.30/x
  3. Step 3: Cross multiply
    130,601.10x = 180,229.95 × 74,016.30
  4. Step 4: Simplify right side
    130,601.10x = 13,339,954,048.19
  5. Step 5: Solve for x
    x = 13,339,954,048.19/130,601.10
  6. Step 6: Final answer
    x = 102,142.74

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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.