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Finding the Fourth Proportional to 203,198.69, 280,411.01 and 111,317.24

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Solution

The fourth proportional to 203,198.69, 280,411.01 and 111,317.24 is: 153,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198.69 : 280,411.01 = 111,317.24 : x
  2. Step 2: Convert to fraction form
    203,198.69/280,411.01 = 111,317.24/x
  3. Step 3: Cross multiply
    203,198.69x = 280,411.01 × 111,317.24
  4. Step 4: Simplify right side
    203,198.69x = 31,214,579,142.23
  5. Step 5: Solve for x
    x = 31,214,579,142.23/203,198.69
  6. Step 6: Final answer
    x = 153,616.05

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1.5x scale

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.