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Finding the Fourth Proportional to 172,904.10, 238,609.47 and 97,452.60

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Solution

The fourth proportional to 172,904.10, 238,609.47 and 97,452.60 is: 134,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,904.10 : 238,609.47 = 97,452.60 : x
  2. Step 2: Convert to fraction form
    172,904.10/238,609.47 = 97,452.60/x
  3. Step 3: Cross multiply
    172,904.10x = 238,609.47 × 97,452.60
  4. Step 4: Simplify right side
    172,904.10x = 23,253,113,236.12
  5. Step 5: Solve for x
    x = 23,253,113,236.12/172,904.10
  6. Step 6: Final answer
    x = 134,485.61

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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.