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Finding the Fourth Proportional to 203,432.52, 280,765.94 and 112,808.64

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Solution

The fourth proportional to 203,432.52, 280,765.94 and 112,808.64 is: 155,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,432.52 : 280,765.94 = 112,808.64 : x
  2. Step 2: Convert to fraction form
    203,432.52/280,765.94 = 112,808.64/x
  3. Step 3: Cross multiply
    203,432.52x = 280,765.94 × 112,808.64
  4. Step 4: Simplify right side
    203,432.52x = 31,672,823,849.72
  5. Step 5: Solve for x
    x = 31,672,823,849.72/203,432.52
  6. Step 6: Final answer
    x = 155,692.04

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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.