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Finding the Fourth Proportional to 172,812.96, 258,843.60 and 83,879.28

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Solution

The fourth proportional to 172,812.96, 258,843.60 and 83,879.28 is: 125,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,812.96 : 258,843.60 = 83,879.28 : x
  2. Step 2: Convert to fraction form
    172,812.96/258,843.60 = 83,879.28/x
  3. Step 3: Cross multiply
    172,812.96x = 258,843.60 × 83,879.28
  4. Step 4: Simplify right side
    172,812.96x = 21,711,614,800.61
  5. Step 5: Solve for x
    x = 21,711,614,800.61/172,812.96
  6. Step 6: Final answer
    x = 125,636.50

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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.