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Finding the Fourth Proportional to 276,091.20, 414,136.80 and 201,733.20

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Solution

The fourth proportional to 276,091.20, 414,136.80 and 201,733.20 is: 302,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,091.20 : 414,136.80 = 201,733.20 : x
  2. Step 2: Convert to fraction form
    276,091.20/414,136.80 = 201,733.20/x
  3. Step 3: Cross multiply
    276,091.20x = 414,136.80 × 201,733.20
  4. Step 4: Simplify right side
    276,091.20x = 83,545,141,901.76
  5. Step 5: Solve for x
    x = 83,545,141,901.76/276,091.20
  6. Step 6: Final answer
    x = 302,599.80

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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.