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Finding the Fourth Proportional to 167,584.89, 251,040.76 and 77,501.34

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Solution

The fourth proportional to 167,584.89, 251,040.76 and 77,501.34 is: 116,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,584.89 : 251,040.76 = 77,501.34 : x
  2. Step 2: Convert to fraction form
    167,584.89/251,040.76 = 77,501.34/x
  3. Step 3: Cross multiply
    167,584.89x = 251,040.76 × 77,501.34
  4. Step 4: Simplify right side
    167,584.89x = 19,455,995,294.62
  5. Step 5: Solve for x
    x = 19,455,995,294.62/167,584.89
  6. Step 6: Final answer
    x = 116,096.36

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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.