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Finding the Fourth Proportional to 100,998.65, 151,451.39 and 29,895.85

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Solution

The fourth proportional to 100,998.65, 151,451.39 and 29,895.85 is: 44,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.65 : 151,451.39 = 29,895.85 : x
  2. Step 2: Convert to fraction form
    100,998.65/151,451.39 = 29,895.85/x
  3. Step 3: Cross multiply
    100,998.65x = 151,451.39 × 29,895.85
  4. Step 4: Simplify right side
    100,998.65x = 4,527,768,133.62
  5. Step 5: Solve for x
    x = 4,527,768,133.62/100,998.65
  6. Step 6: Final answer
    x = 44,829.99

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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.