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Finding the Fourth Proportional to 194,097.60, 267,852.96 and 109,212.96

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Solution

The fourth proportional to 194,097.60, 267,852.96 and 109,212.96 is: 150,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,097.60 : 267,852.96 = 109,212.96 : x
  2. Step 2: Convert to fraction form
    194,097.60/267,852.96 = 109,212.96/x
  3. Step 3: Cross multiply
    194,097.60x = 267,852.96 × 109,212.96
  4. Step 4: Simplify right side
    194,097.60x = 29,253,014,606.36
  5. Step 5: Solve for x
    x = 29,253,014,606.36/194,097.60
  6. Step 6: Final answer
    x = 150,712.91

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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.