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Finding the Fourth Proportional to 133,780.94, 200,692.18 and 45,027.52

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Solution

The fourth proportional to 133,780.94, 200,692.18 and 45,027.52 is: 67,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.94 : 200,692.18 = 45,027.52 : x
  2. Step 2: Convert to fraction form
    133,780.94/200,692.18 = 45,027.52/x
  3. Step 3: Cross multiply
    133,780.94x = 200,692.18 × 45,027.52
  4. Step 4: Simplify right side
    133,780.94x = 9,036,671,148.79
  5. Step 5: Solve for x
    x = 9,036,671,148.79/133,780.94
  6. Step 6: Final answer
    x = 67,548.27

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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.