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Finding the Fourth Proportional to 211,353, 317,023.92 and 61,634.63

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Solution

The fourth proportional to 211,353, 317,023.92 and 61,634.63 is: 92,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,353 : 317,023.92 = 61,634.63 : x
  2. Step 2: Convert to fraction form
    211,353/317,023.92 = 61,634.63/x
  3. Step 3: Cross multiply
    211,353x = 317,023.92 × 61,634.63
  4. Step 4: Simplify right side
    211,353x = 19,539,650,425.23
  5. Step 5: Solve for x
    x = 19,539,650,425.23/211,353
  6. Step 6: Final answer
    x = 92,450.31

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