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Finding the Fourth Proportional to 202,091.59, 302,972.94 and 75,661.02

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Solution

The fourth proportional to 202,091.59, 302,972.94 and 75,661.02 is: 113,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091.59 : 302,972.94 = 75,661.02 : x
  2. Step 2: Convert to fraction form
    202,091.59/302,972.94 = 75,661.02/x
  3. Step 3: Cross multiply
    202,091.59x = 302,972.94 × 75,661.02
  4. Step 4: Simplify right side
    202,091.59x = 22,923,241,672.80
  5. Step 5: Solve for x
    x = 22,923,241,672.80/202,091.59
  6. Step 6: Final answer
    x = 113,429.96

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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.