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Finding the Fourth Proportional to 226,040.31, 311,960.61 and 144,443.97

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Solution

The fourth proportional to 226,040.31, 311,960.61 and 144,443.97 is: 199,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,040.31 : 311,960.61 = 144,443.97 : x
  2. Step 2: Convert to fraction form
    226,040.31/311,960.61 = 144,443.97/x
  3. Step 3: Cross multiply
    226,040.31x = 311,960.61 × 144,443.97
  4. Step 4: Simplify right side
    226,040.31x = 45,060,828,992.02
  5. Step 5: Solve for x
    x = 45,060,828,992.02/226,040.31
  6. Step 6: Final answer
    x = 199,348.64

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1.5x scale

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.