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Finding the Fourth Proportional to 164,546.84, 246,850.90 and 52,196.78

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Solution

The fourth proportional to 164,546.84, 246,850.90 and 52,196.78 is: 78,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,546.84 : 246,850.90 = 52,196.78 : x
  2. Step 2: Convert to fraction form
    164,546.84/246,850.90 = 52,196.78/x
  3. Step 3: Cross multiply
    164,546.84x = 246,850.90 × 52,196.78
  4. Step 4: Simplify right side
    164,546.84x = 12,884,822,279.48
  5. Step 5: Solve for x
    x = 12,884,822,279.48/164,546.84
  6. Step 6: Final answer
    x = 78,304.89

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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.