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Finding the Fourth Proportional to 211,157.56, 317,052.60 and 182,782.60

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Solution

The fourth proportional to 211,157.56, 317,052.60 and 182,782.60 is: 274,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,157.56 : 317,052.60 = 182,782.60 : x
  2. Step 2: Convert to fraction form
    211,157.56/317,052.60 = 182,782.60/x
  3. Step 3: Cross multiply
    211,157.56x = 317,052.60 × 182,782.60
  4. Step 4: Simplify right side
    211,157.56x = 57,951,698,564.76
  5. Step 5: Solve for x
    x = 57,951,698,564.76/211,157.56
  6. Step 6: Final answer
    x = 274,447.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.