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Finding the Fourth Proportional to 194,615.20, 291,922.80 and 185,429.80

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Solution

The fourth proportional to 194,615.20, 291,922.80 and 185,429.80 is: 278,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.20 : 291,922.80 = 185,429.80 : x
  2. Step 2: Convert to fraction form
    194,615.20/291,922.80 = 185,429.80/x
  3. Step 3: Cross multiply
    194,615.20x = 291,922.80 × 185,429.80
  4. Step 4: Simplify right side
    194,615.20x = 54,131,186,419.44
  5. Step 5: Solve for x
    x = 54,131,186,419.44/194,615.20
  6. Step 6: Final answer
    x = 278,144.70

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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.