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Finding the Fourth Proportional to 197,494.60, 295,998.90 and 134,314.60

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Solution

The fourth proportional to 197,494.60, 295,998.90 and 134,314.60 is: 201,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,494.60 : 295,998.90 = 134,314.60 : x
  2. Step 2: Convert to fraction form
    197,494.60/295,998.90 = 134,314.60/x
  3. Step 3: Cross multiply
    197,494.60x = 295,998.90 × 134,314.60
  4. Step 4: Simplify right side
    197,494.60x = 39,756,973,853.94
  5. Step 5: Solve for x
    x = 39,756,973,853.94/197,494.60
  6. Step 6: Final answer
    x = 201,306.64

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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.