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Finding the Fourth Proportional to 154,469.60, 231,704.40 and 54,742.40

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Solution

The fourth proportional to 154,469.60, 231,704.40 and 54,742.40 is: 82,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469.60 : 231,704.40 = 54,742.40 : x
  2. Step 2: Convert to fraction form
    154,469.60/231,704.40 = 54,742.40/x
  3. Step 3: Cross multiply
    154,469.60x = 231,704.40 × 54,742.40
  4. Step 4: Simplify right side
    154,469.60x = 12,684,054,946.56
  5. Step 5: Solve for x
    x = 12,684,054,946.56/154,469.60
  6. Step 6: Final answer
    x = 82,113.60

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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.