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Finding the Fourth Proportional to 102,772.40, 154,158.60 and 36,287.60

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Solution

The fourth proportional to 102,772.40, 154,158.60 and 36,287.60 is: 54,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,772.40 : 154,158.60 = 36,287.60 : x
  2. Step 2: Convert to fraction form
    102,772.40/154,158.60 = 36,287.60/x
  3. Step 3: Cross multiply
    102,772.40x = 154,158.60 × 36,287.60
  4. Step 4: Simplify right side
    102,772.40x = 5,594,045,613.36
  5. Step 5: Solve for x
    x = 5,594,045,613.36/102,772.40
  6. Step 6: Final answer
    x = 54,431.40

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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.