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Finding the Fourth Proportional to 295,896.12, 443,891.52 and 96,201.12

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Solution

The fourth proportional to 295,896.12, 443,891.52 and 96,201.12 is: 144,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,896.12 : 443,891.52 = 96,201.12 : x
  2. Step 2: Convert to fraction form
    295,896.12/443,891.52 = 96,201.12/x
  3. Step 3: Cross multiply
    295,896.12x = 443,891.52 × 96,201.12
  4. Step 4: Simplify right side
    295,896.12x = 42,702,861,382.50
  5. Step 5: Solve for x
    x = 42,702,861,382.50/295,896.12
  6. Step 6: Final answer
    x = 144,317.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.