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Finding the Fourth Proportional to 202,276.58, 303,447.78 and 75,926.75

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Solution

The fourth proportional to 202,276.58, 303,447.78 and 75,926.75 is: 113,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,276.58 : 303,447.78 = 75,926.75 : x
  2. Step 2: Convert to fraction form
    202,276.58/303,447.78 = 75,926.75/x
  3. Step 3: Cross multiply
    202,276.58x = 303,447.78 × 75,926.75
  4. Step 4: Simplify right side
    202,276.58x = 23,039,803,730.12
  5. Step 5: Solve for x
    x = 23,039,803,730.12/202,276.58
  6. Step 6: Final answer
    x = 113,902.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.