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Finding the Fourth Proportional to 159,814.30, 239,552.94 and 53,169.77

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Solution

The fourth proportional to 159,814.30, 239,552.94 and 53,169.77 is: 79,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.30 : 239,552.94 = 53,169.77 : x
  2. Step 2: Convert to fraction form
    159,814.30/239,552.94 = 53,169.77/x
  3. Step 3: Cross multiply
    159,814.30x = 239,552.94 × 53,169.77
  4. Step 4: Simplify right side
    159,814.30x = 12,736,974,722.62
  5. Step 5: Solve for x
    x = 12,736,974,722.62/159,814.30
  6. Step 6: Final answer
    x = 79,698.59

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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.