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Finding the Fourth Proportional to 194,617.50, 292,014.09 and 111,511.50

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Solution

The fourth proportional to 194,617.50, 292,014.09 and 111,511.50 is: 167,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,617.50 : 292,014.09 = 111,511.50 : x
  2. Step 2: Convert to fraction form
    194,617.50/292,014.09 = 111,511.50/x
  3. Step 3: Cross multiply
    194,617.50x = 292,014.09 × 111,511.50
  4. Step 4: Simplify right side
    194,617.50x = 32,562,929,197.04
  5. Step 5: Solve for x
    x = 32,562,929,197.04/194,617.50
  6. Step 6: Final answer
    x = 167,317.58

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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.