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Finding the Fourth Proportional to 144,000.83, 198,721.27 and 80,338.65

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Solution

The fourth proportional to 144,000.83, 198,721.27 and 80,338.65 is: 110,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.83 : 198,721.27 = 80,338.65 : x
  2. Step 2: Convert to fraction form
    144,000.83/198,721.27 = 80,338.65/x
  3. Step 3: Cross multiply
    144,000.83x = 198,721.27 × 80,338.65
  4. Step 4: Simplify right side
    144,000.83x = 15,964,998,558.09
  5. Step 5: Solve for x
    x = 15,964,998,558.09/144,000.83
  6. Step 6: Final answer
    x = 110,867.41

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1.5x scale

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.