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Finding the Fourth Proportional to 194,099.42, 291,149.04 and 53,858

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Solution

The fourth proportional to 194,099.42, 291,149.04 and 53,858 is: 80,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,099.42 : 291,149.04 = 53,858 : x
  2. Step 2: Convert to fraction form
    194,099.42/291,149.04 = 53,858/x
  3. Step 3: Cross multiply
    194,099.42x = 291,149.04 × 53,858
  4. Step 4: Simplify right side
    194,099.42x = 15,680,704,996.32
  5. Step 5: Solve for x
    x = 15,680,704,996.32/194,099.42
  6. Step 6: Final answer
    x = 80,786.98

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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.