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Finding the Fourth Proportional to 224,538.80, 309,855.78 and 133,848

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Solution

The fourth proportional to 224,538.80, 309,855.78 and 133,848 is: 184,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.80 : 309,855.78 = 133,848 : x
  2. Step 2: Convert to fraction form
    224,538.80/309,855.78 = 133,848/x
  3. Step 3: Cross multiply
    224,538.80x = 309,855.78 × 133,848
  4. Step 4: Simplify right side
    224,538.80x = 41,473,576,441.44
  5. Step 5: Solve for x
    x = 41,473,576,441.44/224,538.80
  6. Step 6: Final answer
    x = 184,705.62

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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.