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Finding the Fourth Proportional to 201,914.70, 302,872.05 and 173,866.43

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Solution

The fourth proportional to 201,914.70, 302,872.05 and 173,866.43 is: 260,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.70 : 302,872.05 = 173,866.43 : x
  2. Step 2: Convert to fraction form
    201,914.70/302,872.05 = 173,866.43/x
  3. Step 3: Cross multiply
    201,914.70x = 302,872.05 × 173,866.43
  4. Step 4: Simplify right side
    201,914.70x = 52,659,282,080.28
  5. Step 5: Solve for x
    x = 52,659,282,080.28/201,914.70
  6. Step 6: Final answer
    x = 260,799.65

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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.