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Finding the Fourth Proportional to 135,935.20, 203,829.90 and 56,960.20

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Solution

The fourth proportional to 135,935.20, 203,829.90 and 56,960.20 is: 85,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,935.20 : 203,829.90 = 56,960.20 : x
  2. Step 2: Convert to fraction form
    135,935.20/203,829.90 = 56,960.20/x
  3. Step 3: Cross multiply
    135,935.20x = 203,829.90 × 56,960.20
  4. Step 4: Simplify right side
    135,935.20x = 11,610,191,869.98
  5. Step 5: Solve for x
    x = 11,610,191,869.98/135,935.20
  6. Step 6: Final answer
    x = 85,409.75

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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.