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Finding the Fourth Proportional to 202,003.12, 302,933.76 and 110,800.20

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Solution

The fourth proportional to 202,003.12, 302,933.76 and 110,800.20 is: 166,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.12 : 302,933.76 = 110,800.20 : x
  2. Step 2: Convert to fraction form
    202,003.12/302,933.76 = 110,800.20/x
  3. Step 3: Cross multiply
    202,003.12x = 302,933.76 × 110,800.20
  4. Step 4: Simplify right side
    202,003.12x = 33,565,121,194.75
  5. Step 5: Solve for x
    x = 33,565,121,194.75/202,003.12
  6. Step 6: Final answer
    x = 166,161.40

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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.