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Finding the Fourth Proportional to 133,692.87, 200,564.59 and 53,737.06

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Solution

The fourth proportional to 133,692.87, 200,564.59 and 53,737.06 is: 80,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.87 : 200,564.59 = 53,737.06 : x
  2. Step 2: Convert to fraction form
    133,692.87/200,564.59 = 53,737.06/x
  3. Step 3: Cross multiply
    133,692.87x = 200,564.59 × 53,737.06
  4. Step 4: Simplify right side
    133,692.87x = 10,777,751,406.71
  5. Step 5: Solve for x
    x = 10,777,751,406.71/133,692.87
  6. Step 6: Final answer
    x = 80,615.75

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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.