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Finding the Fourth Proportional to 203,451, 305,176.56 and 63,209.64

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Solution

The fourth proportional to 203,451, 305,176.56 and 63,209.64 is: 94,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,451 : 305,176.56 = 63,209.64 : x
  2. Step 2: Convert to fraction form
    203,451/305,176.56 = 63,209.64/x
  3. Step 3: Cross multiply
    203,451x = 305,176.56 × 63,209.64
  4. Step 4: Simplify right side
    203,451x = 19,290,100,494.04
  5. Step 5: Solve for x
    x = 19,290,100,494.04/203,451
  6. Step 6: Final answer
    x = 94,814.48

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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.