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Finding the Fourth Proportional to 203,536.99, 280,836.07 and 117,477.64

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Solution

The fourth proportional to 203,536.99, 280,836.07 and 117,477.64 is: 162,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,536.99 : 280,836.07 = 117,477.64 : x
  2. Step 2: Convert to fraction form
    203,536.99/280,836.07 = 117,477.64/x
  3. Step 3: Cross multiply
    203,536.99x = 280,836.07 × 117,477.64
  4. Step 4: Simplify right side
    203,536.99x = 32,991,958,730.47
  5. Step 5: Solve for x
    x = 32,991,958,730.47/203,536.99
  6. Step 6: Final answer
    x = 162,093.18

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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.