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Finding the Fourth Proportional to 197,114.90, 295,672.35 and 180,785.30

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Solution

The fourth proportional to 197,114.90, 295,672.35 and 180,785.30 is: 271,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,114.90 : 295,672.35 = 180,785.30 : x
  2. Step 2: Convert to fraction form
    197,114.90/295,672.35 = 180,785.30/x
  3. Step 3: Cross multiply
    197,114.90x = 295,672.35 × 180,785.30
  4. Step 4: Simplify right side
    197,114.90x = 53,453,214,496.46
  5. Step 5: Solve for x
    x = 53,453,214,496.46/197,114.90
  6. Step 6: Final answer
    x = 271,177.95

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1.5x scale

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.