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Finding the Fourth Proportional to 225,198.42, 310,769.02 and 123,223.46

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Solution

The fourth proportional to 225,198.42, 310,769.02 and 123,223.46 is: 170,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,198.42 : 310,769.02 = 123,223.46 : x
  2. Step 2: Convert to fraction form
    225,198.42/310,769.02 = 123,223.46/x
  3. Step 3: Cross multiply
    225,198.42x = 310,769.02 × 123,223.46
  4. Step 4: Simplify right side
    225,198.42x = 38,294,033,905.21
  5. Step 5: Solve for x
    x = 38,294,033,905.21/225,198.42
  6. Step 6: Final answer
    x = 170,045.75

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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.