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Finding the Fourth Proportional to 197,186.40, 295,779.60 and 180,856.80

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Solution

The fourth proportional to 197,186.40, 295,779.60 and 180,856.80 is: 271,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,186.40 : 295,779.60 = 180,856.80 : x
  2. Step 2: Convert to fraction form
    197,186.40/295,779.60 = 180,856.80/x
  3. Step 3: Cross multiply
    197,186.40x = 295,779.60 × 180,856.80
  4. Step 4: Simplify right side
    197,186.40x = 53,493,751,961.28
  5. Step 5: Solve for x
    x = 53,493,751,961.28/197,186.40
  6. Step 6: Final answer
    x = 271,285.20

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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.