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Finding the Fourth Proportional to 172,696.12, 238,319.22 and 96,214.48

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Solution

The fourth proportional to 172,696.12, 238,319.22 and 96,214.48 is: 132,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,696.12 : 238,319.22 = 96,214.48 : x
  2. Step 2: Convert to fraction form
    172,696.12/238,319.22 = 96,214.48/x
  3. Step 3: Cross multiply
    172,696.12x = 238,319.22 × 96,214.48
  4. Step 4: Simplify right side
    172,696.12x = 22,929,759,826.31
  5. Step 5: Solve for x
    x = 22,929,759,826.31/172,696.12
  6. Step 6: Final answer
    x = 132,775.19

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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.