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Finding the Fourth Proportional to 172,821.60, 259,232.40 and 54,529.20

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Solution

The fourth proportional to 172,821.60, 259,232.40 and 54,529.20 is: 81,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821.60 : 259,232.40 = 54,529.20 : x
  2. Step 2: Convert to fraction form
    172,821.60/259,232.40 = 54,529.20/x
  3. Step 3: Cross multiply
    172,821.60x = 259,232.40 × 54,529.20
  4. Step 4: Simplify right side
    172,821.60x = 14,135,735,386.08
  5. Step 5: Solve for x
    x = 14,135,735,386.08/172,821.60
  6. Step 6: Final answer
    x = 81,793.80

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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.