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Finding the Fourth Proportional to 552,111.14, 828,166.30 and 178,134.14

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Solution

The fourth proportional to 552,111.14, 828,166.30 and 178,134.14 is: 267,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,111.14 : 828,166.30 = 178,134.14 : x
  2. Step 2: Convert to fraction form
    552,111.14/828,166.30 = 178,134.14/x
  3. Step 3: Cross multiply
    552,111.14x = 828,166.30 × 178,134.14
  4. Step 4: Simplify right side
    552,111.14x = 147,524,691,627.48
  5. Step 5: Solve for x
    x = 147,524,691,627.48/552,111.14
  6. Step 6: Final answer
    x = 267,201.08

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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.