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Finding the Fourth Proportional to 197,265.16, 295,899.90 and 57,025

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Solution

The fourth proportional to 197,265.16, 295,899.90 and 57,025 is: 85,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,265.16 : 295,899.90 = 57,025 : x
  2. Step 2: Convert to fraction form
    197,265.16/295,899.90 = 57,025/x
  3. Step 3: Cross multiply
    197,265.16x = 295,899.90 × 57,025
  4. Step 4: Simplify right side
    197,265.16x = 16,873,691,797.50
  5. Step 5: Solve for x
    x = 16,873,691,797.50/197,265.16
  6. Step 6: Final answer
    x = 85,538.12

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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.