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Finding the Fourth Proportional to 129,205.80, 193,808.34 and 35,711.28

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Solution

The fourth proportional to 129,205.80, 193,808.34 and 35,711.28 is: 53,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.80 : 193,808.34 = 35,711.28 : x
  2. Step 2: Convert to fraction form
    129,205.80/193,808.34 = 35,711.28/x
  3. Step 3: Cross multiply
    129,205.80x = 193,808.34 × 35,711.28
  4. Step 4: Simplify right side
    129,205.80x = 6,921,143,896.08
  5. Step 5: Solve for x
    x = 6,921,143,896.08/129,205.80
  6. Step 6: Final answer
    x = 53,566.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.