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Finding the Fourth Proportional to 172,668.31, 259,039.53 and 97,824.31

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Solution

The fourth proportional to 172,668.31, 259,039.53 and 97,824.31 is: 146,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,668.31 : 259,039.53 = 97,824.31 : x
  2. Step 2: Convert to fraction form
    172,668.31/259,039.53 = 97,824.31/x
  3. Step 3: Cross multiply
    172,668.31x = 259,039.53 × 97,824.31
  4. Step 4: Simplify right side
    172,668.31x = 25,340,362,637.38
  5. Step 5: Solve for x
    x = 25,340,362,637.38/172,668.31
  6. Step 6: Final answer
    x = 146,757.46

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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.