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Finding the Fourth Proportional to 164,611.64, 246,891.71 and 52,277.07

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Solution

The fourth proportional to 164,611.64, 246,891.71 and 52,277.07 is: 78,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,611.64 : 246,891.71 = 52,277.07 : x
  2. Step 2: Convert to fraction form
    164,611.64/246,891.71 = 52,277.07/x
  3. Step 3: Cross multiply
    164,611.64x = 246,891.71 × 52,277.07
  4. Step 4: Simplify right side
    164,611.64x = 12,906,774,944.70
  5. Step 5: Solve for x
    x = 12,906,774,944.70/164,611.64
  6. Step 6: Final answer
    x = 78,407.42

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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.