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Finding the Fourth Proportional to 203,215.24, 280,574.02 and 126,850.64

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Solution

The fourth proportional to 203,215.24, 280,574.02 and 126,850.64 is: 175,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,215.24 : 280,574.02 = 126,850.64 : x
  2. Step 2: Convert to fraction form
    203,215.24/280,574.02 = 126,850.64/x
  3. Step 3: Cross multiply
    203,215.24x = 280,574.02 × 126,850.64
  4. Step 4: Simplify right side
    203,215.24x = 35,590,994,004.37
  5. Step 5: Solve for x
    x = 35,590,994,004.37/203,215.24
  6. Step 6: Final answer
    x = 175,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.