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Finding the Fourth Proportional to 320,687.74, 480,896.29 and 96,080.11

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Solution

The fourth proportional to 320,687.74, 480,896.29 and 96,080.11 is: 144,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,687.74 : 480,896.29 = 96,080.11 : x
  2. Step 2: Convert to fraction form
    320,687.74/480,896.29 = 96,080.11/x
  3. Step 3: Cross multiply
    320,687.74x = 480,896.29 × 96,080.11
  4. Step 4: Simplify right side
    320,687.74x = 46,204,567,359.65
  5. Step 5: Solve for x
    x = 46,204,567,359.65/320,687.74
  6. Step 6: Final answer
    x = 144,079.62

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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.