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Finding the Fourth Proportional to 197,078.40, 295,617.60 and 180,748.80

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Solution

The fourth proportional to 197,078.40, 295,617.60 and 180,748.80 is: 271,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,078.40 : 295,617.60 = 180,748.80 : x
  2. Step 2: Convert to fraction form
    197,078.40/295,617.60 = 180,748.80/x
  3. Step 3: Cross multiply
    197,078.40x = 295,617.60 × 180,748.80
  4. Step 4: Simplify right side
    197,078.40x = 53,432,526,458.88
  5. Step 5: Solve for x
    x = 53,432,526,458.88/197,078.40
  6. Step 6: Final answer
    x = 271,123.20

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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.