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Finding the Fourth Proportional to 154,193.56, 231,324.36 and 65,522.86

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Solution

The fourth proportional to 154,193.56, 231,324.36 and 65,522.86 is: 98,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,193.56 : 231,324.36 = 65,522.86 : x
  2. Step 2: Convert to fraction form
    154,193.56/231,324.36 = 65,522.86/x
  3. Step 3: Cross multiply
    154,193.56x = 231,324.36 × 65,522.86
  4. Step 4: Simplify right side
    154,193.56x = 15,157,033,654.87
  5. Step 5: Solve for x
    x = 15,157,033,654.87/154,193.56
  6. Step 6: Final answer
    x = 98,298.75

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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.