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Finding the Fourth Proportional to 133,409.40, 200,049.30 and 74,182.20

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Solution

The fourth proportional to 133,409.40, 200,049.30 and 74,182.20 is: 111,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.40 : 200,049.30 = 74,182.20 : x
  2. Step 2: Convert to fraction form
    133,409.40/200,049.30 = 74,182.20/x
  3. Step 3: Cross multiply
    133,409.40x = 200,049.30 × 74,182.20
  4. Step 4: Simplify right side
    133,409.40x = 14,840,097,182.46
  5. Step 5: Solve for x
    x = 14,840,097,182.46/133,409.40
  6. Step 6: Final answer
    x = 111,237.27

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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.