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Finding the Fourth Proportional to 265,198.02, 397,798.74 and 75,657.90

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Solution

The fourth proportional to 265,198.02, 397,798.74 and 75,657.90 is: 113,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,198.02 : 397,798.74 = 75,657.90 : x
  2. Step 2: Convert to fraction form
    265,198.02/397,798.74 = 75,657.90/x
  3. Step 3: Cross multiply
    265,198.02x = 397,798.74 × 75,657.90
  4. Step 4: Simplify right side
    265,198.02x = 30,096,617,291.05
  5. Step 5: Solve for x
    x = 30,096,617,291.05/265,198.02
  6. Step 6: Final answer
    x = 113,487.34

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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.