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Finding the Fourth Proportional to 228,716.92, 342,936.45 and 102,333.61

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Solution

The fourth proportional to 228,716.92, 342,936.45 and 102,333.61 is: 153,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,716.92 : 342,936.45 = 102,333.61 : x
  2. Step 2: Convert to fraction form
    228,716.92/342,936.45 = 102,333.61/x
  3. Step 3: Cross multiply
    228,716.92x = 342,936.45 × 102,333.61
  4. Step 4: Simplify right side
    228,716.92x = 35,093,924,929.08
  5. Step 5: Solve for x
    x = 35,093,924,929.08/228,716.92
  6. Step 6: Final answer
    x = 153,438.25

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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.