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Finding the Fourth Proportional to 150,817, 208,127.46 and 83,749

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Solution

The fourth proportional to 150,817, 208,127.46 and 83,749 is: 115,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,817 : 208,127.46 = 83,749 : x
  2. Step 2: Convert to fraction form
    150,817/208,127.46 = 83,749/x
  3. Step 3: Cross multiply
    150,817x = 208,127.46 × 83,749
  4. Step 4: Simplify right side
    150,817x = 17,430,466,647.54
  5. Step 5: Solve for x
    x = 17,430,466,647.54/150,817
  6. Step 6: Final answer
    x = 115,573.62

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