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Finding the Fourth Proportional to 169,175.89, 233,447.22 and 97,542.07

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Solution

The fourth proportional to 169,175.89, 233,447.22 and 97,542.07 is: 134,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,175.89 : 233,447.22 = 97,542.07 : x
  2. Step 2: Convert to fraction form
    169,175.89/233,447.22 = 97,542.07/x
  3. Step 3: Cross multiply
    169,175.89x = 233,447.22 × 97,542.07
  4. Step 4: Simplify right side
    169,175.89x = 22,770,923,907.31
  5. Step 5: Solve for x
    x = 22,770,923,907.31/169,175.89
  6. Step 6: Final answer
    x = 134,599.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.