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Finding the Fourth Proportional to 200,244, 300,132.72 and 111,455.04

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Solution

The fourth proportional to 200,244, 300,132.72 and 111,455.04 is: 167,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,244 : 300,132.72 = 111,455.04 : x
  2. Step 2: Convert to fraction form
    200,244/300,132.72 = 111,455.04/x
  3. Step 3: Cross multiply
    200,244x = 300,132.72 × 111,455.04
  4. Step 4: Simplify right side
    200,244x = 33,451,304,312.91
  5. Step 5: Solve for x
    x = 33,451,304,312.91/200,244
  6. Step 6: Final answer
    x = 167,052.72

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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.