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Finding the Fourth Proportional to 253,500.75, 380,624.94 and 141,399.99

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Solution

The fourth proportional to 253,500.75, 380,624.94 and 141,399.99 is: 212,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,500.75 : 380,624.94 = 141,399.99 : x
  2. Step 2: Convert to fraction form
    253,500.75/380,624.94 = 141,399.99/x
  3. Step 3: Cross multiply
    253,500.75x = 380,624.94 × 141,399.99
  4. Step 4: Simplify right side
    253,500.75x = 53,820,362,709.75
  5. Step 5: Solve for x
    x = 53,820,362,709.75/253,500.75
  6. Step 6: Final answer
    x = 212,308.49

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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.