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Finding the Fourth Proportional to 135,905.27, 203,767.92 and 64,838.87

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Solution

The fourth proportional to 135,905.27, 203,767.92 and 64,838.87 is: 97,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,905.27 : 203,767.92 = 64,838.87 : x
  2. Step 2: Convert to fraction form
    135,905.27/203,767.92 = 64,838.87/x
  3. Step 3: Cross multiply
    135,905.27x = 203,767.92 × 64,838.87
  4. Step 4: Simplify right side
    135,905.27x = 13,212,082,184.47
  5. Step 5: Solve for x
    x = 13,212,082,184.47/135,905.27
  6. Step 6: Final answer
    x = 97,215.38

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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.