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Finding the Fourth Proportional to 175,756, 263,678.97 and 51,097

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Solution

The fourth proportional to 175,756, 263,678.97 and 51,097 is: 76,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,756 : 263,678.97 = 51,097 : x
  2. Step 2: Convert to fraction form
    175,756/263,678.97 = 51,097/x
  3. Step 3: Cross multiply
    175,756x = 263,678.97 × 51,097
  4. Step 4: Simplify right side
    175,756x = 13,473,204,330.09
  5. Step 5: Solve for x
    x = 13,473,204,330.09/175,756
  6. Step 6: Final answer
    x = 76,658.57

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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.