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Finding the Fourth Proportional to 148,133.91, 204,423.33 and 80,149.40

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Solution

The fourth proportional to 148,133.91, 204,423.33 and 80,149.40 is: 110,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,133.91 : 204,423.33 = 80,149.40 : x
  2. Step 2: Convert to fraction form
    148,133.91/204,423.33 = 80,149.40/x
  3. Step 3: Cross multiply
    148,133.91x = 204,423.33 × 80,149.40
  4. Step 4: Simplify right side
    148,133.91x = 16,384,407,290.53
  5. Step 5: Solve for x
    x = 16,384,407,290.53/148,133.91
  6. Step 6: Final answer
    x = 110,605.38

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Why These Related Problems?

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