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Finding the Fourth Proportional to 123,638.70, 185,376.12 and 44,742.66

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Solution

The fourth proportional to 123,638.70, 185,376.12 and 44,742.66 is: 67,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,638.70 : 185,376.12 = 44,742.66 : x
  2. Step 2: Convert to fraction form
    123,638.70/185,376.12 = 44,742.66/x
  3. Step 3: Cross multiply
    123,638.70x = 185,376.12 × 44,742.66
  4. Step 4: Simplify right side
    123,638.70x = 8,294,220,709.28
  5. Step 5: Solve for x
    x = 8,294,220,709.28/123,638.70
  6. Step 6: Final answer
    x = 67,084.34

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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.