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Finding the Fourth Proportional to 127,314.92, 190,611.50 and 105,794.84

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Solution

The fourth proportional to 127,314.92, 190,611.50 and 105,794.84 is: 158,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,314.92 : 190,611.50 = 105,794.84 : x
  2. Step 2: Convert to fraction form
    127,314.92/190,611.50 = 105,794.84/x
  3. Step 3: Cross multiply
    127,314.92x = 190,611.50 × 105,794.84
  4. Step 4: Simplify right side
    127,314.92x = 20,165,711,662.63
  5. Step 5: Solve for x
    x = 20,165,711,662.63/127,314.92
  6. Step 6: Final answer
    x = 158,392.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.