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Finding the Fourth Proportional to 114,142.08, 171,205.44 and 35,260.80

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Solution

The fourth proportional to 114,142.08, 171,205.44 and 35,260.80 is: 52,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,142.08 : 171,205.44 = 35,260.80 : x
  2. Step 2: Convert to fraction form
    114,142.08/171,205.44 = 35,260.80/x
  3. Step 3: Cross multiply
    114,142.08x = 171,205.44 × 35,260.80
  4. Step 4: Simplify right side
    114,142.08x = 6,036,840,778.75
  5. Step 5: Solve for x
    x = 6,036,840,778.75/114,142.08
  6. Step 6: Final answer
    x = 52,888.83

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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.