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Finding the Fourth Proportional to 228,936.40, 343,404.60 and 102,576.40

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Solution

The fourth proportional to 228,936.40, 343,404.60 and 102,576.40 is: 153,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,936.40 : 343,404.60 = 102,576.40 : x
  2. Step 2: Convert to fraction form
    228,936.40/343,404.60 = 102,576.40/x
  3. Step 3: Cross multiply
    228,936.40x = 343,404.60 × 102,576.40
  4. Step 4: Simplify right side
    228,936.40x = 35,225,207,611.44
  5. Step 5: Solve for x
    x = 35,225,207,611.44/228,936.40
  6. Step 6: Final answer
    x = 153,864.60

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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.