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Finding the Fourth Proportional to 552,057.26, 828,085.82 and 178,080.26

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Solution

The fourth proportional to 552,057.26, 828,085.82 and 178,080.26 is: 267,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,057.26 : 828,085.82 = 178,080.26 : x
  2. Step 2: Convert to fraction form
    552,057.26/828,085.82 = 178,080.26/x
  3. Step 3: Cross multiply
    552,057.26x = 828,085.82 × 178,080.26
  4. Step 4: Simplify right side
    552,057.26x = 147,465,733,097.08
  5. Step 5: Solve for x
    x = 147,465,733,097.08/552,057.26
  6. Step 6: Final answer
    x = 267,120.36

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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.