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Finding the Fourth Proportional to 233,178.26, 349,766.10 and 201,491.97

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Solution

The fourth proportional to 233,178.26, 349,766.10 and 201,491.97 is: 302,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178.26 : 349,766.10 = 201,491.97 : x
  2. Step 2: Convert to fraction form
    233,178.26/349,766.10 = 201,491.97/x
  3. Step 3: Cross multiply
    233,178.26x = 349,766.10 × 201,491.97
  4. Step 4: Simplify right side
    233,178.26x = 70,475,061,184.03
  5. Step 5: Solve for x
    x = 70,475,061,184.03/233,178.26
  6. Step 6: Final answer
    x = 302,236.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.