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Finding the Fourth Proportional to 272,276.16, 408,414.72 and 106,064.16

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Solution

The fourth proportional to 272,276.16, 408,414.72 and 106,064.16 is: 159,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,276.16 : 408,414.72 = 106,064.16 : x
  2. Step 2: Convert to fraction form
    272,276.16/408,414.72 = 106,064.16/x
  3. Step 3: Cross multiply
    272,276.16x = 408,414.72 × 106,064.16
  4. Step 4: Simplify right side
    272,276.16x = 43,318,164,208.44
  5. Step 5: Solve for x
    x = 43,318,164,208.44/272,276.16
  6. Step 6: Final answer
    x = 159,096.43

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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.