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Finding the Fourth Proportional to 208,817.26, 288,166.28 and 113,321.90

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Solution

The fourth proportional to 208,817.26, 288,166.28 and 113,321.90 is: 156,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,817.26 : 288,166.28 = 113,321.90 : x
  2. Step 2: Convert to fraction form
    208,817.26/288,166.28 = 113,321.90/x
  3. Step 3: Cross multiply
    208,817.26x = 288,166.28 × 113,321.90
  4. Step 4: Simplify right side
    208,817.26x = 32,655,550,519.34
  5. Step 5: Solve for x
    x = 32,655,550,519.34/208,817.26
  6. Step 6: Final answer
    x = 156,383.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.