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Finding the Fourth Proportional to 202,101.30, 302,758.16 and 123,019.38

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Solution

The fourth proportional to 202,101.30, 302,758.16 and 123,019.38 is: 184,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.30 : 302,758.16 = 123,019.38 : x
  2. Step 2: Convert to fraction form
    202,101.30/302,758.16 = 123,019.38/x
  3. Step 3: Cross multiply
    202,101.30x = 302,758.16 × 123,019.38
  4. Step 4: Simplify right side
    202,101.30x = 37,245,120,518.04
  5. Step 5: Solve for x
    x = 37,245,120,518.04/202,101.30
  6. Step 6: Final answer
    x = 184,289.37

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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.