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Finding the Fourth Proportional to 201,630.47, 302,234.69 and 75,219.84

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Solution

The fourth proportional to 201,630.47, 302,234.69 and 75,219.84 is: 112,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,630.47 : 302,234.69 = 75,219.84 : x
  2. Step 2: Convert to fraction form
    201,630.47/302,234.69 = 75,219.84/x
  3. Step 3: Cross multiply
    201,630.47x = 302,234.69 × 75,219.84
  4. Step 4: Simplify right side
    201,630.47x = 22,734,045,212.30
  5. Step 5: Solve for x
    x = 22,734,045,212.30/201,630.47
  6. Step 6: Final answer
    x = 112,751.04

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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.