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Finding the Fourth Proportional to 194,505.96, 291,873.72 and 82,178.88

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Solution

The fourth proportional to 194,505.96, 291,873.72 and 82,178.88 is: 123,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,505.96 : 291,873.72 = 82,178.88 : x
  2. Step 2: Convert to fraction form
    194,505.96/291,873.72 = 82,178.88/x
  3. Step 3: Cross multiply
    194,505.96x = 291,873.72 × 82,178.88
  4. Step 4: Simplify right side
    194,505.96x = 23,985,855,411.03
  5. Step 5: Solve for x
    x = 23,985,855,411.03/194,505.96
  6. Step 6: Final answer
    x = 123,316.81

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1.5x scale

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.