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Finding the Fourth Proportional to 133,446.64, 200,142.30 and 49,184.98

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Solution

The fourth proportional to 133,446.64, 200,142.30 and 49,184.98 is: 73,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,446.64 : 200,142.30 = 49,184.98 : x
  2. Step 2: Convert to fraction form
    133,446.64/200,142.30 = 49,184.98/x
  3. Step 3: Cross multiply
    133,446.64x = 200,142.30 × 49,184.98
  4. Step 4: Simplify right side
    133,446.64x = 9,843,995,022.65
  5. Step 5: Solve for x
    x = 9,843,995,022.65/133,446.64
  6. Step 6: Final answer
    x = 73,767.28

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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.