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Finding the Fourth Proportional to 146,503.91, 219,789 and 46,669.79

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Solution

The fourth proportional to 146,503.91, 219,789 and 46,669.79 is: 70,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,503.91 : 219,789 = 46,669.79 : x
  2. Step 2: Convert to fraction form
    146,503.91/219,789 = 46,669.79/x
  3. Step 3: Cross multiply
    146,503.91x = 219,789 × 46,669.79
  4. Step 4: Simplify right side
    146,503.91x = 10,257,505,375.37
  5. Step 5: Solve for x
    x = 10,257,505,375.37/146,503.91
  6. Step 6: Final answer
    x = 70,015.24

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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.