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Finding the Fourth Proportional to 224,249.46, 309,539.24 and 133,633.84

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Solution

The fourth proportional to 224,249.46, 309,539.24 and 133,633.84 is: 184,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,249.46 : 309,539.24 = 133,633.84 : x
  2. Step 2: Convert to fraction form
    224,249.46/309,539.24 = 133,633.84/x
  3. Step 3: Cross multiply
    224,249.46x = 309,539.24 × 133,633.84
  4. Step 4: Simplify right side
    224,249.46x = 41,364,915,390.10
  5. Step 5: Solve for x
    x = 41,364,915,390.10/224,249.46
  6. Step 6: Final answer
    x = 184,459.38

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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.