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Finding the Fourth Proportional to 172,768.36, 238,414.98 and 97,315.24

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Solution

The fourth proportional to 172,768.36, 238,414.98 and 97,315.24 is: 134,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,768.36 : 238,414.98 = 97,315.24 : x
  2. Step 2: Convert to fraction form
    172,768.36/238,414.98 = 97,315.24/x
  3. Step 3: Cross multiply
    172,768.36x = 238,414.98 × 97,315.24
  4. Step 4: Simplify right side
    172,768.36x = 23,201,410,998.30
  5. Step 5: Solve for x
    x = 23,201,410,998.30/172,768.36
  6. Step 6: Final answer
    x = 134,292.01

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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.