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Finding the Fourth Proportional to 133,674.30, 200,624.85 and 54,845.10

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Solution

The fourth proportional to 133,674.30, 200,624.85 and 54,845.10 is: 82,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,674.30 : 200,624.85 = 54,845.10 : x
  2. Step 2: Convert to fraction form
    133,674.30/200,624.85 = 54,845.10/x
  3. Step 3: Cross multiply
    133,674.30x = 200,624.85 × 54,845.10
  4. Step 4: Simplify right side
    133,674.30x = 11,003,289,960.74
  5. Step 5: Solve for x
    x = 11,003,289,960.74/133,674.30
  6. Step 6: Final answer
    x = 82,314.18

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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.