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Finding the Fourth Proportional to 135,952.16, 203,900.22 and 51,682.76

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Solution

The fourth proportional to 135,952.16, 203,900.22 and 51,682.76 is: 77,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952.16 : 203,900.22 = 51,682.76 : x
  2. Step 2: Convert to fraction form
    135,952.16/203,900.22 = 51,682.76/x
  3. Step 3: Cross multiply
    135,952.16x = 203,900.22 × 51,682.76
  4. Step 4: Simplify right side
    135,952.16x = 10,538,126,134.21
  5. Step 5: Solve for x
    x = 10,538,126,134.21/135,952.16
  6. Step 6: Final answer
    x = 77,513.49

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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.