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Finding the Fourth Proportional to 264,212.66, 364,678.32 and 162,262.42

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Solution

The fourth proportional to 264,212.66, 364,678.32 and 162,262.42 is: 223,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,212.66 : 364,678.32 = 162,262.42 : x
  2. Step 2: Convert to fraction form
    264,212.66/364,678.32 = 162,262.42/x
  3. Step 3: Cross multiply
    264,212.66x = 364,678.32 × 162,262.42
  4. Step 4: Simplify right side
    264,212.66x = 59,173,586,724.73
  5. Step 5: Solve for x
    x = 59,173,586,724.73/264,212.66
  6. Step 6: Final answer
    x = 223,961.97

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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.