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Finding the Fourth Proportional to 177,198.60, 265,797.90 and 161,646.60

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Solution

The fourth proportional to 177,198.60, 265,797.90 and 161,646.60 is: 242,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,198.60 : 265,797.90 = 161,646.60 : x
  2. Step 2: Convert to fraction form
    177,198.60/265,797.90 = 161,646.60/x
  3. Step 3: Cross multiply
    177,198.60x = 265,797.90 × 161,646.60
  4. Step 4: Simplify right side
    177,198.60x = 42,965,326,822.14
  5. Step 5: Solve for x
    x = 42,965,326,822.14/177,198.60
  6. Step 6: Final answer
    x = 242,469.90

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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.