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Finding the Fourth Proportional to 224,604.42, 309,842.26 and 133,896.47

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Solution

The fourth proportional to 224,604.42, 309,842.26 and 133,896.47 is: 184,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,604.42 : 309,842.26 = 133,896.47 : x
  2. Step 2: Convert to fraction form
    224,604.42/309,842.26 = 133,896.47/x
  3. Step 3: Cross multiply
    224,604.42x = 309,842.26 × 133,896.47
  4. Step 4: Simplify right side
    224,604.42x = 41,486,784,870.82
  5. Step 5: Solve for x
    x = 41,486,784,870.82/224,604.42
  6. Step 6: Final answer
    x = 184,710.46

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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.