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Finding the Fourth Proportional to 177,286.80, 265,930.20 and 137,197.20

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Solution

The fourth proportional to 177,286.80, 265,930.20 and 137,197.20 is: 205,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,286.80 : 265,930.20 = 137,197.20 : x
  2. Step 2: Convert to fraction form
    177,286.80/265,930.20 = 137,197.20/x
  3. Step 3: Cross multiply
    177,286.80x = 265,930.20 × 137,197.20
  4. Step 4: Simplify right side
    177,286.80x = 36,484,878,835.44
  5. Step 5: Solve for x
    x = 36,484,878,835.44/177,286.80
  6. Step 6: Final answer
    x = 205,795.80

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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.