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Finding the Fourth Proportional to 202,062.80, 302,700.54 and 122,980.88

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Solution

The fourth proportional to 202,062.80, 302,700.54 and 122,980.88 is: 184,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,062.80 : 302,700.54 = 122,980.88 : x
  2. Step 2: Convert to fraction form
    202,062.80/302,700.54 = 122,980.88/x
  3. Step 3: Cross multiply
    202,062.80x = 302,700.54 × 122,980.88
  4. Step 4: Simplify right side
    202,062.80x = 37,226,378,785.68
  5. Step 5: Solve for x
    x = 37,226,378,785.68/202,062.80
  6. Step 6: Final answer
    x = 184,231.73

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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.