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Finding the Fourth Proportional to 172,735.38, 238,475.97 and 113,223.06

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Solution

The fourth proportional to 172,735.38, 238,475.97 and 113,223.06 is: 156,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,735.38 : 238,475.97 = 113,223.06 : x
  2. Step 2: Convert to fraction form
    172,735.38/238,475.97 = 113,223.06/x
  3. Step 3: Cross multiply
    172,735.38x = 238,475.97 × 113,223.06
  4. Step 4: Simplify right side
    172,735.38x = 27,000,979,059.87
  5. Step 5: Solve for x
    x = 27,000,979,059.87/172,735.38
  6. Step 6: Final answer
    x = 156,314.12

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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.