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Finding the Fourth Proportional to 177,202.62, 265,978.89 and 77,431.68

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Solution

The fourth proportional to 177,202.62, 265,978.89 and 77,431.68 is: 116,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,202.62 : 265,978.89 = 77,431.68 : x
  2. Step 2: Convert to fraction form
    177,202.62/265,978.89 = 77,431.68/x
  3. Step 3: Cross multiply
    177,202.62x = 265,978.89 × 77,431.68
  4. Step 4: Simplify right side
    177,202.62x = 20,595,192,297.24
  5. Step 5: Solve for x
    x = 20,595,192,297.24/177,202.62
  6. Step 6: Final answer
    x = 116,223.97

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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.