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Finding the Fourth Proportional to 201,912.10, 302,540.10 and 173,699.80

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Solution

The fourth proportional to 201,912.10, 302,540.10 and 173,699.80 is: 260,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.10 : 302,540.10 = 173,699.80 : x
  2. Step 2: Convert to fraction form
    201,912.10/302,540.10 = 173,699.80/x
  3. Step 3: Cross multiply
    201,912.10x = 302,540.10 × 173,699.80
  4. Step 4: Simplify right side
    201,912.10x = 52,551,154,861.98
  5. Step 5: Solve for x
    x = 52,551,154,861.98/201,912.10
  6. Step 6: Final answer
    x = 260,267.49

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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.