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Finding the Fourth Proportional to 172,903.96, 259,355.94 and 133,518.52

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Solution

The fourth proportional to 172,903.96, 259,355.94 and 133,518.52 is: 200,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,903.96 : 259,355.94 = 133,518.52 : x
  2. Step 2: Convert to fraction form
    172,903.96/259,355.94 = 133,518.52/x
  3. Step 3: Cross multiply
    172,903.96x = 259,355.94 × 133,518.52
  4. Step 4: Simplify right side
    172,903.96x = 34,628,821,262.01
  5. Step 5: Solve for x
    x = 34,628,821,262.01/172,903.96
  6. Step 6: Final answer
    x = 200,277.78

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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.