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Finding the Fourth Proportional to 194,164.84, 291,249.18 and 53,924.20

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Solution

The fourth proportional to 194,164.84, 291,249.18 and 53,924.20 is: 80,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164.84 : 291,249.18 = 53,924.20 : x
  2. Step 2: Convert to fraction form
    194,164.84/291,249.18 = 53,924.20/x
  3. Step 3: Cross multiply
    194,164.84x = 291,249.18 × 53,924.20
  4. Step 4: Simplify right side
    194,164.84x = 15,705,379,032.16
  5. Step 5: Solve for x
    x = 15,705,379,032.16/194,164.84
  6. Step 6: Final answer
    x = 80,886.83

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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.