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Finding the Fourth Proportional to 154,167.96, 231,082.11 and 100,837.98

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Solution

The fourth proportional to 154,167.96, 231,082.11 and 100,837.98 is: 151,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167.96 : 231,082.11 = 100,837.98 : x
  2. Step 2: Convert to fraction form
    154,167.96/231,082.11 = 100,837.98/x
  3. Step 3: Cross multiply
    154,167.96x = 231,082.11 × 100,837.98
  4. Step 4: Simplify right side
    154,167.96x = 23,301,853,186.54
  5. Step 5: Solve for x
    x = 23,301,853,186.54/154,167.96
  6. Step 6: Final answer
    x = 151,145.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.