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Finding the Fourth Proportional to 203,483.34, 280,821.38 and 112,847.99

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Solution

The fourth proportional to 203,483.34, 280,821.38 and 112,847.99 is: 155,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,483.34 : 280,821.38 = 112,847.99 : x
  2. Step 2: Convert to fraction form
    203,483.34/280,821.38 = 112,847.99/x
  3. Step 3: Cross multiply
    203,483.34x = 280,821.38 × 112,847.99
  4. Step 4: Simplify right side
    203,483.34x = 31,690,126,313.68
  5. Step 5: Solve for x
    x = 31,690,126,313.68/203,483.34
  6. Step 6: Final answer
    x = 155,738.19

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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.