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Finding the Fourth Proportional to 197,231.60, 295,847.40 and 136,870.40

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Solution

The fourth proportional to 197,231.60, 295,847.40 and 136,870.40 is: 205,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,231.60 : 295,847.40 = 136,870.40 : x
  2. Step 2: Convert to fraction form
    197,231.60/295,847.40 = 136,870.40/x
  3. Step 3: Cross multiply
    197,231.60x = 295,847.40 × 136,870.40
  4. Step 4: Simplify right side
    197,231.60x = 40,492,751,976.96
  5. Step 5: Solve for x
    x = 40,492,751,976.96/197,231.60
  6. Step 6: Final answer
    x = 205,305.60

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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.