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Finding the Fourth Proportional to 172,475.38, 238,015.96 and 97,023.88

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Solution

The fourth proportional to 172,475.38, 238,015.96 and 97,023.88 is: 133,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,475.38 : 238,015.96 = 97,023.88 : x
  2. Step 2: Convert to fraction form
    172,475.38/238,015.96 = 97,023.88/x
  3. Step 3: Cross multiply
    172,475.38x = 238,015.96 × 97,023.88
  4. Step 4: Simplify right side
    172,475.38x = 23,093,231,941.12
  5. Step 5: Solve for x
    x = 23,093,231,941.12/172,475.38
  6. Step 6: Final answer
    x = 133,892.92

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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.