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Finding the Fourth Proportional to 154,460, 231,708.36 and 54,599.60

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Solution

The fourth proportional to 154,460, 231,708.36 and 54,599.60 is: 81,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,460 : 231,708.36 = 54,599.60 : x
  2. Step 2: Convert to fraction form
    154,460/231,708.36 = 54,599.60/x
  3. Step 3: Cross multiply
    154,460x = 231,708.36 × 54,599.60
  4. Step 4: Simplify right side
    154,460x = 12,651,183,772.66
  5. Step 5: Solve for x
    x = 12,651,183,772.66/154,460
  6. Step 6: Final answer
    x = 81,905.89

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