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Finding the Fourth Proportional to 102,923.30, 154,304.30 and 40,640.42

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Solution

The fourth proportional to 102,923.30, 154,304.30 and 40,640.42 is: 60,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,923.30 : 154,304.30 = 40,640.42 : x
  2. Step 2: Convert to fraction form
    102,923.30/154,304.30 = 40,640.42/x
  3. Step 3: Cross multiply
    102,923.30x = 154,304.30 × 40,640.42
  4. Step 4: Simplify right side
    102,923.30x = 6,270,991,559.81
  5. Step 5: Solve for x
    x = 6,270,991,559.81/102,923.30
  6. Step 6: Final answer
    x = 60,928.78

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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.