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Finding the Fourth Proportional to 178,584.98, 269,106.26 and 147,689.78

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Solution

The fourth proportional to 178,584.98, 269,106.26 and 147,689.78 is: 222,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,584.98 : 269,106.26 = 147,689.78 : x
  2. Step 2: Convert to fraction form
    178,584.98/269,106.26 = 147,689.78/x
  3. Step 3: Cross multiply
    178,584.98x = 269,106.26 × 147,689.78
  4. Step 4: Simplify right side
    178,584.98x = 39,744,244,336.02
  5. Step 5: Solve for x
    x = 39,744,244,336.02/178,584.98
  6. Step 6: Final answer
    x = 222,550.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.