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Finding the Fourth Proportional to 213,499.92, 320,242.62 and 101,233.92

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Solution

The fourth proportional to 213,499.92, 320,242.62 and 101,233.92 is: 151,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,499.92 : 320,242.62 = 101,233.92 : x
  2. Step 2: Convert to fraction form
    213,499.92/320,242.62 = 101,233.92/x
  3. Step 3: Cross multiply
    213,499.92x = 320,242.62 × 101,233.92
  4. Step 4: Simplify right side
    213,499.92x = 32,419,415,773.67
  5. Step 5: Solve for x
    x = 32,419,415,773.67/213,499.92
  6. Step 6: Final answer
    x = 151,847.44

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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.