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Finding the Fourth Proportional to 264,042.10, 396,014.55 and 164,023.30

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Solution

The fourth proportional to 264,042.10, 396,014.55 and 164,023.30 is: 246,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,042.10 : 396,014.55 = 164,023.30 : x
  2. Step 2: Convert to fraction form
    264,042.10/396,014.55 = 164,023.30/x
  3. Step 3: Cross multiply
    264,042.10x = 396,014.55 × 164,023.30
  4. Step 4: Simplify right side
    264,042.10x = 64,955,613,339.02
  5. Step 5: Solve for x
    x = 64,955,613,339.02/264,042.10
  6. Step 6: Final answer
    x = 246,004.76

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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.