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Finding the Fourth Proportional to 281,728.74, 422,608.53 and 71,368.50

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Solution

The fourth proportional to 281,728.74, 422,608.53 and 71,368.50 is: 107,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.74 : 422,608.53 = 71,368.50 : x
  2. Step 2: Convert to fraction form
    281,728.74/422,608.53 = 71,368.50/x
  3. Step 3: Cross multiply
    281,728.74x = 422,608.53 × 71,368.50
  4. Step 4: Simplify right side
    281,728.74x = 30,160,936,873.31
  5. Step 5: Solve for x
    x = 30,160,936,873.31/281,728.74
  6. Step 6: Final answer
    x = 107,056.66

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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.