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Finding the Fourth Proportional to 135,857.64, 203,795.82 and 56,892.36

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Solution

The fourth proportional to 135,857.64, 203,795.82 and 56,892.36 is: 85,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,857.64 : 203,795.82 = 56,892.36 : x
  2. Step 2: Convert to fraction form
    135,857.64/203,795.82 = 56,892.36/x
  3. Step 3: Cross multiply
    135,857.64x = 203,795.82 × 56,892.36
  4. Step 4: Simplify right side
    135,857.64x = 11,594,425,157.94
  5. Step 5: Solve for x
    x = 11,594,425,157.94/135,857.64
  6. Step 6: Final answer
    x = 85,342.46

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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.