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Finding the Fourth Proportional to 146,476.70, 219,731.22 and 46,601.84

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Solution

The fourth proportional to 146,476.70, 219,731.22 and 46,601.84 is: 69,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,476.70 : 219,731.22 = 46,601.84 : x
  2. Step 2: Convert to fraction form
    146,476.70/219,731.22 = 46,601.84/x
  3. Step 3: Cross multiply
    146,476.70x = 219,731.22 × 46,601.84
  4. Step 4: Simplify right side
    146,476.70x = 10,239,879,157.44
  5. Step 5: Solve for x
    x = 10,239,879,157.44/146,476.70
  6. Step 6: Final answer
    x = 69,907.90

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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.