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Finding the Fourth Proportional to 225,753.72, 311,541.36 and 130,264.44

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Solution

The fourth proportional to 225,753.72, 311,541.36 and 130,264.44 is: 179,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,753.72 : 311,541.36 = 130,264.44 : x
  2. Step 2: Convert to fraction form
    225,753.72/311,541.36 = 130,264.44/x
  3. Step 3: Cross multiply
    225,753.72x = 311,541.36 × 130,264.44
  4. Step 4: Simplify right side
    225,753.72x = 40,582,760,797.24
  5. Step 5: Solve for x
    x = 40,582,760,797.24/225,753.72
  6. Step 6: Final answer
    x = 179,765.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.