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Finding the Fourth Proportional to 133,407.40, 200,046.30 and 74,180.20

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Solution

The fourth proportional to 133,407.40, 200,046.30 and 74,180.20 is: 111,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.40 : 200,046.30 = 74,180.20 : x
  2. Step 2: Convert to fraction form
    133,407.40/200,046.30 = 74,180.20/x
  3. Step 3: Cross multiply
    133,407.40x = 200,046.30 × 74,180.20
  4. Step 4: Simplify right side
    133,407.40x = 14,839,474,543.26
  5. Step 5: Solve for x
    x = 14,839,474,543.26/133,407.40
  6. Step 6: Final answer
    x = 111,234.27

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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.