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Finding the Fourth Proportional to 154,474.30, 231,538.65 and 65,712.70

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Solution

The fourth proportional to 154,474.30, 231,538.65 and 65,712.70 is: 98,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,474.30 : 231,538.65 = 65,712.70 : x
  2. Step 2: Convert to fraction form
    154,474.30/231,538.65 = 65,712.70/x
  3. Step 3: Cross multiply
    154,474.30x = 231,538.65 × 65,712.70
  4. Step 4: Simplify right side
    154,474.30x = 15,215,029,845.86
  5. Step 5: Solve for x
    x = 15,215,029,845.86/154,474.30
  6. Step 6: Final answer
    x = 98,495.54

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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.