Home / 204,846.24-282,689.12-114,208

Finding the Fourth Proportional to 204,846.24, 282,689.12 and 114,208

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Solution

The fourth proportional to 204,846.24, 282,689.12 and 114,208 is: 157,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.24 : 282,689.12 = 114,208 : x
  2. Step 2: Convert to fraction form
    204,846.24/282,689.12 = 114,208/x
  3. Step 3: Cross multiply
    204,846.24x = 282,689.12 × 114,208
  4. Step 4: Simplify right side
    204,846.24x = 32,285,359,016.96
  5. Step 5: Solve for x
    x = 32,285,359,016.96/204,846.24
  6. Step 6: Final answer
    x = 157,607.77

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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.