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Finding the Fourth Proportional to 172,776.27, 259,199.64 and 97,929.84

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Solution

The fourth proportional to 172,776.27, 259,199.64 and 97,929.84 is: 146,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,776.27 : 259,199.64 = 97,929.84 : x
  2. Step 2: Convert to fraction form
    172,776.27/259,199.64 = 97,929.84/x
  3. Step 3: Cross multiply
    172,776.27x = 259,199.64 × 97,929.84
  4. Step 4: Simplify right side
    172,776.27x = 25,383,379,273.26
  5. Step 5: Solve for x
    x = 25,383,379,273.26/172,776.27
  6. Step 6: Final answer
    x = 146,914.73

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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.