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Finding the Fourth Proportional to 228,532.92, 342,869.46 and 102,279.48

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Solution

The fourth proportional to 228,532.92, 342,869.46 and 102,279.48 is: 153,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,532.92 : 342,869.46 = 102,279.48 : x
  2. Step 2: Convert to fraction form
    228,532.92/342,869.46 = 102,279.48/x
  3. Step 3: Cross multiply
    228,532.92x = 342,869.46 × 102,279.48
  4. Step 4: Simplify right side
    228,532.92x = 35,068,510,076.68
  5. Step 5: Solve for x
    x = 35,068,510,076.68/228,532.92
  6. Step 6: Final answer
    x = 153,450.58

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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.