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Finding the Fourth Proportional to 211,713, 317,327.91 and 85,272.28

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Solution

The fourth proportional to 211,713, 317,327.91 and 85,272.28 is: 127,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,713 : 317,327.91 = 85,272.28 : x
  2. Step 2: Convert to fraction form
    211,713/317,327.91 = 85,272.28/x
  3. Step 3: Cross multiply
    211,713x = 317,327.91 × 85,272.28
  4. Step 4: Simplify right side
    211,713x = 27,059,274,393.33
  5. Step 5: Solve for x
    x = 27,059,274,393.33/211,713
  6. Step 6: Final answer
    x = 127,811.11

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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.