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Finding the Fourth Proportional to 194,998.20, 291,914.10 and 116,071.80

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Solution

The fourth proportional to 194,998.20, 291,914.10 and 116,071.80 is: 173,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998.20 : 291,914.10 = 116,071.80 : x
  2. Step 2: Convert to fraction form
    194,998.20/291,914.10 = 116,071.80/x
  3. Step 3: Cross multiply
    194,998.20x = 291,914.10 × 116,071.80
  4. Step 4: Simplify right side
    194,998.20x = 33,882,995,032.38
  5. Step 5: Solve for x
    x = 33,882,995,032.38/194,998.20
  6. Step 6: Final answer
    x = 173,760.55

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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.