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Finding the Fourth Proportional to 216,422.24, 298,305.84 and 144,776.48

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Solution

The fourth proportional to 216,422.24, 298,305.84 and 144,776.48 is: 199,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422.24 : 298,305.84 = 144,776.48 : x
  2. Step 2: Convert to fraction form
    216,422.24/298,305.84 = 144,776.48/x
  3. Step 3: Cross multiply
    216,422.24x = 298,305.84 × 144,776.48
  4. Step 4: Simplify right side
    216,422.24x = 43,187,669,478.64
  5. Step 5: Solve for x
    x = 43,187,669,478.64/216,422.24
  6. Step 6: Final answer
    x = 199,552.83

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