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Finding the Fourth Proportional to 194,096.72, 291,149.88 and 53,855.12

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Solution

The fourth proportional to 194,096.72, 291,149.88 and 53,855.12 is: 80,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,096.72 : 291,149.88 = 53,855.12 : x
  2. Step 2: Convert to fraction form
    194,096.72/291,149.88 = 53,855.12/x
  3. Step 3: Cross multiply
    194,096.72x = 291,149.88 × 53,855.12
  4. Step 4: Simplify right side
    194,096.72x = 15,679,911,725.39
  5. Step 5: Solve for x
    x = 15,679,911,725.39/194,096.72
  6. Step 6: Final answer
    x = 80,784.01

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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.