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Finding the Fourth Proportional to 120,885.84, 166,770.71 and 75,485

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Solution

The fourth proportional to 120,885.84, 166,770.71 and 75,485 is: 104,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885.84 : 166,770.71 = 75,485 : x
  2. Step 2: Convert to fraction form
    120,885.84/166,770.71 = 75,485/x
  3. Step 3: Cross multiply
    120,885.84x = 166,770.71 × 75,485
  4. Step 4: Simplify right side
    120,885.84x = 12,588,687,044.35
  5. Step 5: Solve for x
    x = 12,588,687,044.35/120,885.84
  6. Step 6: Final answer
    x = 104,136.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.