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Finding the Fourth Proportional to 237,311, 327,486.66 and 135,353.12

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Solution

The fourth proportional to 237,311, 327,486.66 and 135,353.12 is: 186,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,311 : 327,486.66 = 135,353.12 : x
  2. Step 2: Convert to fraction form
    237,311/327,486.66 = 135,353.12/x
  3. Step 3: Cross multiply
    237,311x = 327,486.66 × 135,353.12
  4. Step 4: Simplify right side
    237,311x = 44,326,341,189.38
  5. Step 5: Solve for x
    x = 44,326,341,189.38/237,311
  6. Step 6: Final answer
    x = 186,785.87

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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.