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Finding the Fourth Proportional to 225,566.94, 311,141.61 and 145,099.38

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Solution

The fourth proportional to 225,566.94, 311,141.61 and 145,099.38 is: 200,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,566.94 : 311,141.61 = 145,099.38 : x
  2. Step 2: Convert to fraction form
    225,566.94/311,141.61 = 145,099.38/x
  3. Step 3: Cross multiply
    225,566.94x = 311,141.61 × 145,099.38
  4. Step 4: Simplify right side
    225,566.94x = 45,146,454,703.20
  5. Step 5: Solve for x
    x = 45,146,454,703.20/225,566.94
  6. Step 6: Final answer
    x = 200,146.59

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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.