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Finding the Fourth Proportional to 108,164.64, 162,246.24 and 29,278.56

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Solution

The fourth proportional to 108,164.64, 162,246.24 and 29,278.56 is: 43,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,164.64 : 162,246.24 = 29,278.56 : x
  2. Step 2: Convert to fraction form
    108,164.64/162,246.24 = 29,278.56/x
  3. Step 3: Cross multiply
    108,164.64x = 162,246.24 × 29,278.56
  4. Step 4: Simplify right side
    108,164.64x = 4,750,336,272.61
  5. Step 5: Solve for x
    x = 4,750,336,272.61/108,164.64
  6. Step 6: Final answer
    x = 43,917.65

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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.