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Finding the Fourth Proportional to 133,780.95, 200,692.17 and 45,027.53

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Solution

The fourth proportional to 133,780.95, 200,692.17 and 45,027.53 is: 67,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.95 : 200,692.17 = 45,027.53 : x
  2. Step 2: Convert to fraction form
    133,780.95/200,692.17 = 45,027.53/x
  3. Step 3: Cross multiply
    133,780.95x = 200,692.17 × 45,027.53
  4. Step 4: Simplify right side
    133,780.95x = 9,036,671,701.98
  5. Step 5: Solve for x
    x = 9,036,671,701.98/133,780.95
  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.