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Finding the Fourth Proportional to 205,012.76, 307,517.31 and 64,771.38

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Solution

The fourth proportional to 205,012.76, 307,517.31 and 64,771.38 is: 97,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012.76 : 307,517.31 = 64,771.38 : x
  2. Step 2: Convert to fraction form
    205,012.76/307,517.31 = 64,771.38/x
  3. Step 3: Cross multiply
    205,012.76x = 307,517.31 × 64,771.38
  4. Step 4: Simplify right side
    205,012.76x = 19,918,320,542.59
  5. Step 5: Solve for x
    x = 19,918,320,542.59/205,012.76
  6. Step 6: Final answer
    x = 97,156.49

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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.