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Finding the Fourth Proportional to 194,205.60, 291,381.30 and 75,961.80

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Solution

The fourth proportional to 194,205.60, 291,381.30 and 75,961.80 is: 113,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,205.60 : 291,381.30 = 75,961.80 : x
  2. Step 2: Convert to fraction form
    194,205.60/291,381.30 = 75,961.80/x
  3. Step 3: Cross multiply
    194,205.60x = 291,381.30 × 75,961.80
  4. Step 4: Simplify right side
    194,205.60x = 22,133,848,034.34
  5. Step 5: Solve for x
    x = 22,133,848,034.34/194,205.60
  6. Step 6: Final answer
    x = 113,971.21

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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.