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Finding the Fourth Proportional to 172,993.34, 238,739.10 and 97,540.22

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Solution

The fourth proportional to 172,993.34, 238,739.10 and 97,540.22 is: 134,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993.34 : 238,739.10 = 97,540.22 : x
  2. Step 2: Convert to fraction form
    172,993.34/238,739.10 = 97,540.22/x
  3. Step 3: Cross multiply
    172,993.34x = 238,739.10 × 97,540.22
  4. Step 4: Simplify right side
    172,993.34x = 23,286,664,580.45
  5. Step 5: Solve for x
    x = 23,286,664,580.45/172,993.34
  6. Step 6: Final answer
    x = 134,610.18

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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.