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Finding the Fourth Proportional to 197,221.50, 295,832.25 and 65,893.50

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Solution

The fourth proportional to 197,221.50, 295,832.25 and 65,893.50 is: 98,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,221.50 : 295,832.25 = 65,893.50 : x
  2. Step 2: Convert to fraction form
    197,221.50/295,832.25 = 65,893.50/x
  3. Step 3: Cross multiply
    197,221.50x = 295,832.25 × 65,893.50
  4. Step 4: Simplify right side
    197,221.50x = 19,493,422,365.38
  5. Step 5: Solve for x
    x = 19,493,422,365.38/197,221.50
  6. Step 6: Final answer
    x = 98,840.25

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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.