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Finding the Fourth Proportional to 177,676.98, 266,476.33 and 51,289.77

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Solution

The fourth proportional to 177,676.98, 266,476.33 and 51,289.77 is: 76,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,676.98 : 266,476.33 = 51,289.77 : x
  2. Step 2: Convert to fraction form
    177,676.98/266,476.33 = 51,289.77/x
  3. Step 3: Cross multiply
    177,676.98x = 266,476.33 × 51,289.77
  4. Step 4: Simplify right side
    177,676.98x = 13,667,510,739.54
  5. Step 5: Solve for x
    x = 13,667,510,739.54/177,676.98
  6. Step 6: Final answer
    x = 76,923.36

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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.