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Finding the Fourth Proportional to 133,694.40, 200,570.40 and 40,209.60

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Solution

The fourth proportional to 133,694.40, 200,570.40 and 40,209.60 is: 60,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,694.40 : 200,570.40 = 40,209.60 : x
  2. Step 2: Convert to fraction form
    133,694.40/200,570.40 = 40,209.60/x
  3. Step 3: Cross multiply
    133,694.40x = 200,570.40 × 40,209.60
  4. Step 4: Simplify right side
    133,694.40x = 8,064,855,555.84
  5. Step 5: Solve for x
    x = 8,064,855,555.84/133,694.40
  6. Step 6: Final answer
    x = 60,323.06

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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.