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Finding the Fourth Proportional to 291,951.54, 402,892.46 and 164,626.24

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Solution

The fourth proportional to 291,951.54, 402,892.46 and 164,626.24 is: 227,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.54 : 402,892.46 = 164,626.24 : x
  2. Step 2: Convert to fraction form
    291,951.54/402,892.46 = 164,626.24/x
  3. Step 3: Cross multiply
    291,951.54x = 402,892.46 × 164,626.24
  4. Step 4: Simplify right side
    291,951.54x = 66,326,670,814.15
  5. Step 5: Solve for x
    x = 66,326,670,814.15/291,951.54
  6. Step 6: Final answer
    x = 227,183.84

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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.