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Finding the Fourth Proportional to 177,383.67, 265,934.23 and 102,418.78

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Solution

The fourth proportional to 177,383.67, 265,934.23 and 102,418.78 is: 153,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,383.67 : 265,934.23 = 102,418.78 : x
  2. Step 2: Convert to fraction form
    177,383.67/265,934.23 = 102,418.78/x
  3. Step 3: Cross multiply
    177,383.67x = 265,934.23 × 102,418.78
  4. Step 4: Simplify right side
    177,383.67x = 27,236,658,475.96
  5. Step 5: Solve for x
    x = 27,236,658,475.96/177,383.67
  6. Step 6: Final answer
    x = 153,546.59

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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.