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Finding the Fourth Proportional to 194,105.25, 291,158.01 and 53,864.01

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Solution

The fourth proportional to 194,105.25, 291,158.01 and 53,864.01 is: 80,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,105.25 : 291,158.01 = 53,864.01 : x
  2. Step 2: Convert to fraction form
    194,105.25/291,158.01 = 53,864.01/x
  3. Step 3: Cross multiply
    194,105.25x = 291,158.01 × 53,864.01
  4. Step 4: Simplify right side
    194,105.25x = 15,682,937,962.22
  5. Step 5: Solve for x
    x = 15,682,937,962.22/194,105.25
  6. Step 6: Final answer
    x = 80,796.05

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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.