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Finding the Fourth Proportional to 154,494.60, 231,741.90 and 54,767.40

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Solution

The fourth proportional to 154,494.60, 231,741.90 and 54,767.40 is: 82,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,494.60 : 231,741.90 = 54,767.40 : x
  2. Step 2: Convert to fraction form
    154,494.60/231,741.90 = 54,767.40/x
  3. Step 3: Cross multiply
    154,494.60x = 231,741.90 × 54,767.40
  4. Step 4: Simplify right side
    154,494.60x = 12,691,901,334.06
  5. Step 5: Solve for x
    x = 12,691,901,334.06/154,494.60
  6. Step 6: Final answer
    x = 82,151.10

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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.