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Finding the Fourth Proportional to 177,542.10, 266,428.35 and 102,662.10

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Solution

The fourth proportional to 177,542.10, 266,428.35 and 102,662.10 is: 154,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,542.10 : 266,428.35 = 102,662.10 : x
  2. Step 2: Convert to fraction form
    177,542.10/266,428.35 = 102,662.10/x
  3. Step 3: Cross multiply
    177,542.10x = 266,428.35 × 102,662.10
  4. Step 4: Simplify right side
    177,542.10x = 27,352,093,910.54
  5. Step 5: Solve for x
    x = 27,352,093,910.54/177,542.10
  6. Step 6: Final answer
    x = 154,059.76

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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.