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Finding the Fourth Proportional to 224,744.30, 336,727.65 and 145,817.90

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Solution

The fourth proportional to 224,744.30, 336,727.65 and 145,817.90 is: 218,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,744.30 : 336,727.65 = 145,817.90 : x
  2. Step 2: Convert to fraction form
    224,744.30/336,727.65 = 145,817.90/x
  3. Step 3: Cross multiply
    224,744.30x = 336,727.65 × 145,817.90
  4. Step 4: Simplify right side
    224,744.30x = 49,100,918,794.94
  5. Step 5: Solve for x
    x = 49,100,918,794.94/224,744.30
  6. Step 6: Final answer
    x = 218,474.59

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Why These Related Problems?

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