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Finding the Fourth Proportional to 154,495.80, 231,614.10 and 80,623.80

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Solution

The fourth proportional to 154,495.80, 231,614.10 and 80,623.80 is: 120,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,495.80 : 231,614.10 = 80,623.80 : x
  2. Step 2: Convert to fraction form
    154,495.80/231,614.10 = 80,623.80/x
  3. Step 3: Cross multiply
    154,495.80x = 231,614.10 × 80,623.80
  4. Step 4: Simplify right side
    154,495.80x = 18,673,608,875.58
  5. Step 5: Solve for x
    x = 18,673,608,875.58/154,495.80
  6. Step 6: Final answer
    x = 120,868.07

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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.