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Finding the Fourth Proportional to 264,812.96, 396,995.68 and 114,939.92

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Solution

The fourth proportional to 264,812.96, 396,995.68 and 114,939.92 is: 172,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,812.96 : 396,995.68 = 114,939.92 : x
  2. Step 2: Convert to fraction form
    264,812.96/396,995.68 = 114,939.92/x
  3. Step 3: Cross multiply
    264,812.96x = 396,995.68 × 114,939.92
  4. Step 4: Simplify right side
    264,812.96x = 45,630,651,699.55
  5. Step 5: Solve for x
    x = 45,630,651,699.55/264,812.96
  6. Step 6: Final answer
    x = 172,312.76

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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.