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Finding the Fourth Proportional to 120,694.88, 180,983.80 and 70,791.28

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Solution

The fourth proportional to 120,694.88, 180,983.80 and 70,791.28 is: 106,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694.88 : 180,983.80 = 70,791.28 : x
  2. Step 2: Convert to fraction form
    120,694.88/180,983.80 = 70,791.28/x
  3. Step 3: Cross multiply
    120,694.88x = 180,983.80 × 70,791.28
  4. Step 4: Simplify right side
    120,694.88x = 12,812,074,861.26
  5. Step 5: Solve for x
    x = 12,812,074,861.26/120,694.88
  6. Step 6: Final answer
    x = 106,152.60

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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.