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Finding the Fourth Proportional to 197,361.20, 296,041.80 and 49,617.20

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Solution

The fourth proportional to 197,361.20, 296,041.80 and 49,617.20 is: 74,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,361.20 : 296,041.80 = 49,617.20 : x
  2. Step 2: Convert to fraction form
    197,361.20/296,041.80 = 49,617.20/x
  3. Step 3: Cross multiply
    197,361.20x = 296,041.80 × 49,617.20
  4. Step 4: Simplify right side
    197,361.20x = 14,688,765,198.96
  5. Step 5: Solve for x
    x = 14,688,765,198.96/197,361.20
  6. Step 6: Final answer
    x = 74,425.80

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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.