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Finding the Fourth Proportional to 172,838.60, 259,452.30 and 133,569.80

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Solution

The fourth proportional to 172,838.60, 259,452.30 and 133,569.80 is: 200,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.60 : 259,452.30 = 133,569.80 : x
  2. Step 2: Convert to fraction form
    172,838.60/259,452.30 = 133,569.80/x
  3. Step 3: Cross multiply
    172,838.60x = 259,452.30 × 133,569.80
  4. Step 4: Simplify right side
    172,838.60x = 34,654,991,820.54
  5. Step 5: Solve for x
    x = 34,654,991,820.54/172,838.60
  6. Step 6: Final answer
    x = 200,504.93

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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.