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Finding the Fourth Proportional to 344,136.68, 516,205.03 and 133,823.82

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Solution

The fourth proportional to 344,136.68, 516,205.03 and 133,823.82 is: 200,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,136.68 : 516,205.03 = 133,823.82 : x
  2. Step 2: Convert to fraction form
    344,136.68/516,205.03 = 133,823.82/x
  3. Step 3: Cross multiply
    344,136.68x = 516,205.03 × 133,823.82
  4. Step 4: Simplify right side
    344,136.68x = 69,080,529,017.81
  5. Step 5: Solve for x
    x = 69,080,529,017.81/344,136.68
  6. Step 6: Final answer
    x = 200,735.73

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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.