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Finding the Fourth Proportional to 133,477.94, 200,214.54 and 33,635.90

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Solution

The fourth proportional to 133,477.94, 200,214.54 and 33,635.90 is: 50,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,477.94 : 200,214.54 = 33,635.90 : x
  2. Step 2: Convert to fraction form
    133,477.94/200,214.54 = 33,635.90/x
  3. Step 3: Cross multiply
    133,477.94x = 200,214.54 × 33,635.90
  4. Step 4: Simplify right side
    133,477.94x = 6,734,395,244.91
  5. Step 5: Solve for x
    x = 6,734,395,244.91/133,477.94
  6. Step 6: Final answer
    x = 50,453.25

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1.5x scale

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.