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Finding the Fourth Proportional to 130,122.30, 195,183.45 and 41,382.30

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Solution

The fourth proportional to 130,122.30, 195,183.45 and 41,382.30 is: 62,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,122.30 : 195,183.45 = 41,382.30 : x
  2. Step 2: Convert to fraction form
    130,122.30/195,183.45 = 41,382.30/x
  3. Step 3: Cross multiply
    130,122.30x = 195,183.45 × 41,382.30
  4. Step 4: Simplify right side
    130,122.30x = 8,077,140,082.94
  5. Step 5: Solve for x
    x = 8,077,140,082.94/130,122.30
  6. Step 6: Final answer
    x = 62,073.45

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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.