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Finding the Fourth Proportional to 144,965.46, 217,463.06 and 50,195.50

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Solution

The fourth proportional to 144,965.46, 217,463.06 and 50,195.50 is: 75,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.46 : 217,463.06 = 50,195.50 : x
  2. Step 2: Convert to fraction form
    144,965.46/217,463.06 = 50,195.50/x
  3. Step 3: Cross multiply
    144,965.46x = 217,463.06 × 50,195.50
  4. Step 4: Simplify right side
    144,965.46x = 10,915,666,777.25
  5. Step 5: Solve for x
    x = 10,915,666,777.25/144,965.46
  6. Step 6: Final answer
    x = 75,298.40

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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.