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Finding the Fourth Proportional to 203,537.48, 280,836.77 and 117,478.14

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Solution

The fourth proportional to 203,537.48, 280,836.77 and 117,478.14 is: 162,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,537.48 : 280,836.77 = 117,478.14 : x
  2. Step 2: Convert to fraction form
    203,537.48/280,836.77 = 117,478.14/x
  3. Step 3: Cross multiply
    203,537.48x = 280,836.77 × 117,478.14
  4. Step 4: Simplify right side
    203,537.48x = 32,992,180,795.82
  5. Step 5: Solve for x
    x = 32,992,180,795.82/203,537.48
  6. Step 6: Final answer
    x = 162,093.89

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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.