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Finding the Fourth Proportional to 201,670.20, 302,505.30 and 192,484.80

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Solution

The fourth proportional to 201,670.20, 302,505.30 and 192,484.80 is: 288,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670.20 : 302,505.30 = 192,484.80 : x
  2. Step 2: Convert to fraction form
    201,670.20/302,505.30 = 192,484.80/x
  3. Step 3: Cross multiply
    201,670.20x = 302,505.30 × 192,484.80
  4. Step 4: Simplify right side
    201,670.20x = 58,227,672,169.44
  5. Step 5: Solve for x
    x = 58,227,672,169.44/201,670.20
  6. Step 6: Final answer
    x = 288,727.20

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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.