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Finding the Fourth Proportional to 164,436.60, 246,770.10 and 105,415.80

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Solution

The fourth proportional to 164,436.60, 246,770.10 and 105,415.80 is: 158,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,436.60 : 246,770.10 = 105,415.80 : x
  2. Step 2: Convert to fraction form
    164,436.60/246,770.10 = 105,415.80/x
  3. Step 3: Cross multiply
    164,436.60x = 246,770.10 × 105,415.80
  4. Step 4: Simplify right side
    164,436.60x = 26,013,467,507.58
  5. Step 5: Solve for x
    x = 26,013,467,507.58/164,436.60
  6. Step 6: Final answer
    x = 158,197.55

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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.