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Finding the Fourth Proportional to 263,146.80, 363,059.70 and 161,065.86

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Solution

The fourth proportional to 263,146.80, 363,059.70 and 161,065.86 is: 222,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,146.80 : 363,059.70 = 161,065.86 : x
  2. Step 2: Convert to fraction form
    263,146.80/363,059.70 = 161,065.86/x
  3. Step 3: Cross multiply
    263,146.80x = 363,059.70 × 161,065.86
  4. Step 4: Simplify right side
    263,146.80x = 58,476,522,811.84
  5. Step 5: Solve for x
    x = 58,476,522,811.84/263,146.80
  6. Step 6: Final answer
    x = 222,220.16

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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.