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Finding the Fourth Proportional to 178,245.64, 267,365.59 and 43,310.78

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Solution

The fourth proportional to 178,245.64, 267,365.59 and 43,310.78 is: 64,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245.64 : 267,365.59 = 43,310.78 : x
  2. Step 2: Convert to fraction form
    178,245.64/267,365.59 = 43,310.78/x
  3. Step 3: Cross multiply
    178,245.64x = 267,365.59 × 43,310.78
  4. Step 4: Simplify right side
    178,245.64x = 11,579,811,385.47
  5. Step 5: Solve for x
    x = 11,579,811,385.47/178,245.64
  6. Step 6: Final answer
    x = 64,965.47

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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.