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Finding the Fourth Proportional to 202,634.75, 279,653.24 and 113,228.03

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Solution

The fourth proportional to 202,634.75, 279,653.24 and 113,228.03 is: 156,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,634.75 : 279,653.24 = 113,228.03 : x
  2. Step 2: Convert to fraction form
    202,634.75/279,653.24 = 113,228.03/x
  3. Step 3: Cross multiply
    202,634.75x = 279,653.24 × 113,228.03
  4. Step 4: Simplify right side
    202,634.75x = 31,664,585,448.32
  5. Step 5: Solve for x
    x = 31,664,585,448.32/202,634.75
  6. Step 6: Final answer
    x = 156,264.34

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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.