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Finding the Fourth Proportional to 281,052.76, 421,745.10 and 103,683.64

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Solution

The fourth proportional to 281,052.76, 421,745.10 and 103,683.64 is: 155,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,052.76 : 421,745.10 = 103,683.64 : x
  2. Step 2: Convert to fraction form
    281,052.76/421,745.10 = 103,683.64/x
  3. Step 3: Cross multiply
    281,052.76x = 421,745.10 × 103,683.64
  4. Step 4: Simplify right side
    281,052.76x = 43,728,067,120.16
  5. Step 5: Solve for x
    x = 43,728,067,120.16/281,052.76
  6. Step 6: Final answer
    x = 155,586.68

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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.