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Finding the Fourth Proportional to 231,271.20, 346,215.60 and 137,728.80

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Solution

The fourth proportional to 231,271.20, 346,215.60 and 137,728.80 is: 206,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,271.20 : 346,215.60 = 137,728.80 : x
  2. Step 2: Convert to fraction form
    231,271.20/346,215.60 = 137,728.80/x
  3. Step 3: Cross multiply
    231,271.20x = 346,215.60 × 137,728.80
  4. Step 4: Simplify right side
    231,271.20x = 47,683,859,129.28
  5. Step 5: Solve for x
    x = 47,683,859,129.28/231,271.20
  6. Step 6: Final answer
    x = 206,181.57

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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.