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Finding the Fourth Proportional to 252,837.55, 378,851.99 and 177,078.96

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Solution

The fourth proportional to 252,837.55, 378,851.99 and 177,078.96 is: 265,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,837.55 : 378,851.99 = 177,078.96 : x
  2. Step 2: Convert to fraction form
    252,837.55/378,851.99 = 177,078.96/x
  3. Step 3: Cross multiply
    252,837.55x = 378,851.99 × 177,078.96
  4. Step 4: Simplify right side
    252,837.55x = 67,086,715,497.74
  5. Step 5: Solve for x
    x = 67,086,715,497.74/252,837.55
  6. Step 6: Final answer
    x = 265,335.25

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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.