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Finding the Fourth Proportional to 211,630.30, 317,496.26 and 78,511.71

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Solution

The fourth proportional to 211,630.30, 317,496.26 and 78,511.71 is: 117,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,630.30 : 317,496.26 = 78,511.71 : x
  2. Step 2: Convert to fraction form
    211,630.30/317,496.26 = 78,511.71/x
  3. Step 3: Cross multiply
    211,630.30x = 317,496.26 × 78,511.71
  4. Step 4: Simplify right side
    211,630.30x = 24,927,175,236.47
  5. Step 5: Solve for x
    x = 24,927,175,236.47/211,630.30
  6. Step 6: Final answer
    x = 117,786.42

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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.