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Finding the Fourth Proportional to 172,912.26, 238,618.47 and 96,431.46

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Solution

The fourth proportional to 172,912.26, 238,618.47 and 96,431.46 is: 133,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,912.26 : 238,618.47 = 96,431.46 : x
  2. Step 2: Convert to fraction form
    172,912.26/238,618.47 = 96,431.46/x
  3. Step 3: Cross multiply
    172,912.26x = 238,618.47 × 96,431.46
  4. Step 4: Simplify right side
    172,912.26x = 23,010,327,445.07
  5. Step 5: Solve for x
    x = 23,010,327,445.07/172,912.26
  6. Step 6: Final answer
    x = 133,075.16

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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.