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Finding the Fourth Proportional to 205,247.34, 307,917.18 and 72,136.80

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Solution

The fourth proportional to 205,247.34, 307,917.18 and 72,136.80 is: 108,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,247.34 : 307,917.18 = 72,136.80 : x
  2. Step 2: Convert to fraction form
    205,247.34/307,917.18 = 72,136.80/x
  3. Step 3: Cross multiply
    205,247.34x = 307,917.18 × 72,136.80
  4. Step 4: Simplify right side
    205,247.34x = 22,212,160,030.22
  5. Step 5: Solve for x
    x = 22,212,160,030.22/205,247.34
  6. Step 6: Final answer
    x = 108,221.43

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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.