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Finding the Fourth Proportional to 129,297.92, 193,912.32 and 35,808.96

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Solution

The fourth proportional to 129,297.92, 193,912.32 and 35,808.96 is: 53,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.92 : 193,912.32 = 35,808.96 : x
  2. Step 2: Convert to fraction form
    129,297.92/193,912.32 = 35,808.96/x
  3. Step 3: Cross multiply
    129,297.92x = 193,912.32 × 35,808.96
  4. Step 4: Simplify right side
    129,297.92x = 6,943,798,510.39
  5. Step 5: Solve for x
    x = 6,943,798,510.39/129,297.92
  6. Step 6: Final answer
    x = 53,703.87

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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.