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Finding the Fourth Proportional to 202,378.22, 279,282.33 and 111,734.36

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Solution

The fourth proportional to 202,378.22, 279,282.33 and 111,734.36 is: 154,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378.22 : 279,282.33 = 111,734.36 : x
  2. Step 2: Convert to fraction form
    202,378.22/279,282.33 = 111,734.36/x
  3. Step 3: Cross multiply
    202,378.22x = 279,282.33 × 111,734.36
  4. Step 4: Simplify right side
    202,378.22x = 31,205,431,005.45
  5. Step 5: Solve for x
    x = 31,205,431,005.45/202,378.22
  6. Step 6: Final answer
    x = 154,193.63

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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.