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Finding the Fourth Proportional to 175,665.69, 263,505.82 and 51,006.69

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Solution

The fourth proportional to 175,665.69, 263,505.82 and 51,006.69 is: 76,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,665.69 : 263,505.82 = 51,006.69 : x
  2. Step 2: Convert to fraction form
    175,665.69/263,505.82 = 51,006.69/x
  3. Step 3: Cross multiply
    175,665.69x = 263,505.82 × 51,006.69
  4. Step 4: Simplify right side
    175,665.69x = 13,440,559,673.94
  5. Step 5: Solve for x
    x = 13,440,559,673.94/175,665.69
  6. Step 6: Final answer
    x = 76,512.15

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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.