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Finding the Fourth Proportional to 133,782.84, 200,692.89 and 45,061.79

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Solution

The fourth proportional to 133,782.84, 200,692.89 and 45,061.79 is: 67,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.84 : 200,692.89 = 45,061.79 : x
  2. Step 2: Convert to fraction form
    133,782.84/200,692.89 = 45,061.79/x
  3. Step 3: Cross multiply
    133,782.84x = 200,692.89 × 45,061.79
  4. Step 4: Simplify right side
    133,782.84x = 9,043,579,860.21
  5. Step 5: Solve for x
    x = 9,043,579,860.21/133,782.84
  6. Step 6: Final answer
    x = 67,598.95

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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.