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Finding the Fourth Proportional to 263,537.14, 363,532.76 and 166,711

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Solution

The fourth proportional to 263,537.14, 363,532.76 and 166,711 is: 229,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,537.14 : 363,532.76 = 166,711 : x
  2. Step 2: Convert to fraction form
    263,537.14/363,532.76 = 166,711/x
  3. Step 3: Cross multiply
    263,537.14x = 363,532.76 × 166,711
  4. Step 4: Simplify right side
    263,537.14x = 60,604,909,952.36
  5. Step 5: Solve for x
    x = 60,604,909,952.36/263,537.14
  6. Step 6: Final answer
    x = 229,967.24

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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.