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Finding the Fourth Proportional to 193,887.20, 290,830.80 and 189,221.60

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Solution

The fourth proportional to 193,887.20, 290,830.80 and 189,221.60 is: 283,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,887.20 : 290,830.80 = 189,221.60 : x
  2. Step 2: Convert to fraction form
    193,887.20/290,830.80 = 189,221.60/x
  3. Step 3: Cross multiply
    193,887.20x = 290,830.80 × 189,221.60
  4. Step 4: Simplify right side
    193,887.20x = 55,031,469,305.28
  5. Step 5: Solve for x
    x = 55,031,469,305.28/193,887.20
  6. Step 6: Final answer
    x = 283,832.40

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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.