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Finding the Fourth Proportional to 201,942.10, 302,585.10 and 173,729.80

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Solution

The fourth proportional to 201,942.10, 302,585.10 and 173,729.80 is: 260,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.10 : 302,585.10 = 173,729.80 : x
  2. Step 2: Convert to fraction form
    201,942.10/302,585.10 = 173,729.80/x
  3. Step 3: Cross multiply
    201,942.10x = 302,585.10 × 173,729.80
  4. Step 4: Simplify right side
    201,942.10x = 52,568,048,905.98
  5. Step 5: Solve for x
    x = 52,568,048,905.98/201,942.10
  6. Step 6: Final answer
    x = 260,312.48

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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.