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Finding the Fourth Proportional to 122,436, 168,961.68 and 69,444

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Solution

The fourth proportional to 122,436, 168,961.68 and 69,444 is: 95,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,436 : 168,961.68 = 69,444 : x
  2. Step 2: Convert to fraction form
    122,436/168,961.68 = 69,444/x
  3. Step 3: Cross multiply
    122,436x = 168,961.68 × 69,444
  4. Step 4: Simplify right side
    122,436x = 11,733,374,905.92
  5. Step 5: Solve for x
    x = 11,733,374,905.92/122,436
  6. Step 6: Final answer
    x = 95,832.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.