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Finding the Fourth Proportional to 272,705.63, 409,102.76 and 80,599.55

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Solution

The fourth proportional to 272,705.63, 409,102.76 and 80,599.55 is: 120,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,705.63 : 409,102.76 = 80,599.55 : x
  2. Step 2: Convert to fraction form
    272,705.63/409,102.76 = 80,599.55/x
  3. Step 3: Cross multiply
    272,705.63x = 409,102.76 × 80,599.55
  4. Step 4: Simplify right side
    272,705.63x = 32,973,496,515.74
  5. Step 5: Solve for x
    x = 32,973,496,515.74/272,705.63
  6. Step 6: Final answer
    x = 120,912.42

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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.