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Finding the Fourth Proportional to 264,411.54, 396,844.11 and 106,753.14

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Solution

The fourth proportional to 264,411.54, 396,844.11 and 106,753.14 is: 160,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,411.54 : 396,844.11 = 106,753.14 : x
  2. Step 2: Convert to fraction form
    264,411.54/396,844.11 = 106,753.14/x
  3. Step 3: Cross multiply
    264,411.54x = 396,844.11 × 106,753.14
  4. Step 4: Simplify right side
    264,411.54x = 42,364,354,833.01
  5. Step 5: Solve for x
    x = 42,364,354,833.01/264,411.54
  6. Step 6: Final answer
    x = 160,221.28

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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.