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Finding the Fourth Proportional to 133,410.70, 200,047.65 and 39,904.30

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Solution

The fourth proportional to 133,410.70, 200,047.65 and 39,904.30 is: 59,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,410.70 : 200,047.65 = 39,904.30 : x
  2. Step 2: Convert to fraction form
    133,410.70/200,047.65 = 39,904.30/x
  3. Step 3: Cross multiply
    133,410.70x = 200,047.65 × 39,904.30
  4. Step 4: Simplify right side
    133,410.70x = 7,982,761,439.90
  5. Step 5: Solve for x
    x = 7,982,761,439.90/133,410.70
  6. Step 6: Final answer
    x = 59,835.99

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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.