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Finding the Fourth Proportional to 203,086.94, 280,173.17 and 122,468.64

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Solution

The fourth proportional to 203,086.94, 280,173.17 and 122,468.64 is: 168,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,086.94 : 280,173.17 = 122,468.64 : x
  2. Step 2: Convert to fraction form
    203,086.94/280,173.17 = 122,468.64/x
  3. Step 3: Cross multiply
    203,086.94x = 280,173.17 × 122,468.64
  4. Step 4: Simplify right side
    203,086.94x = 34,312,426,482.05
  5. Step 5: Solve for x
    x = 34,312,426,482.05/203,086.94
  6. Step 6: Final answer
    x = 168,954.38

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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.