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Finding the Fourth Proportional to 194,321.79, 291,482.69 and 75,910.09

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Solution

The fourth proportional to 194,321.79, 291,482.69 and 75,910.09 is: 113,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,321.79 : 291,482.69 = 75,910.09 : x
  2. Step 2: Convert to fraction form
    194,321.79/291,482.69 = 75,910.09/x
  3. Step 3: Cross multiply
    194,321.79x = 291,482.69 × 75,910.09
  4. Step 4: Simplify right side
    194,321.79x = 22,126,477,231.34
  5. Step 5: Solve for x
    x = 22,126,477,231.34/194,321.79
  6. Step 6: Final answer
    x = 113,865.14

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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.