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Finding the Fourth Proportional to 146,661.53, 219,993.11 and 53,164.85

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Solution

The fourth proportional to 146,661.53, 219,993.11 and 53,164.85 is: 79,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,661.53 : 219,993.11 = 53,164.85 : x
  2. Step 2: Convert to fraction form
    146,661.53/219,993.11 = 53,164.85/x
  3. Step 3: Cross multiply
    146,661.53x = 219,993.11 × 53,164.85
  4. Step 4: Simplify right side
    146,661.53x = 11,695,900,694.18
  5. Step 5: Solve for x
    x = 11,695,900,694.18/146,661.53
  6. Step 6: Final answer
    x = 79,747.57

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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.