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Finding the Fourth Proportional to 177,546.30, 265,671.45 and 130,890.30

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Solution

The fourth proportional to 177,546.30, 265,671.45 and 130,890.30 is: 195,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,546.30 : 265,671.45 = 130,890.30 : x
  2. Step 2: Convert to fraction form
    177,546.30/265,671.45 = 130,890.30/x
  3. Step 3: Cross multiply
    177,546.30x = 265,671.45 × 130,890.30
  4. Step 4: Simplify right side
    177,546.30x = 34,773,815,791.94
  5. Step 5: Solve for x
    x = 34,773,815,791.94/177,546.30
  6. Step 6: Final answer
    x = 195,857.73

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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.