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Finding the Fourth Proportional to 176,138.80, 263,905.80 and 82,452.40

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Solution

The fourth proportional to 176,138.80, 263,905.80 and 82,452.40 is: 123,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.80 : 263,905.80 = 82,452.40 : x
  2. Step 2: Convert to fraction form
    176,138.80/263,905.80 = 82,452.40/x
  3. Step 3: Cross multiply
    176,138.80x = 263,905.80 × 82,452.40
  4. Step 4: Simplify right side
    176,138.80x = 21,759,666,583.92
  5. Step 5: Solve for x
    x = 21,759,666,583.92/176,138.80
  6. Step 6: Final answer
    x = 123,537.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.