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Finding the Fourth Proportional to 150,542.14, 207,751 and 82,554.80

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Solution

The fourth proportional to 150,542.14, 207,751 and 82,554.80 is: 113,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.14 : 207,751 = 82,554.80 : x
  2. Step 2: Convert to fraction form
    150,542.14/207,751 = 82,554.80/x
  3. Step 3: Cross multiply
    150,542.14x = 207,751 × 82,554.80
  4. Step 4: Simplify right side
    150,542.14x = 17,150,842,254.80
  5. Step 5: Solve for x
    x = 17,150,842,254.80/150,542.14
  6. Step 6: Final answer
    x = 113,927.19

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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.