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Finding the Fourth Proportional to 203,333.12, 280,350.27 and 164,984.07

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Solution

The fourth proportional to 203,333.12, 280,350.27 and 164,984.07 is: 227,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,333.12 : 280,350.27 = 164,984.07 : x
  2. Step 2: Convert to fraction form
    203,333.12/280,350.27 = 164,984.07/x
  3. Step 3: Cross multiply
    203,333.12x = 280,350.27 × 164,984.07
  4. Step 4: Simplify right side
    203,333.12x = 46,253,327,745.28
  5. Step 5: Solve for x
    x = 46,253,327,745.28/203,333.12
  6. Step 6: Final answer
    x = 227,475.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.