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Finding the Fourth Proportional to 194,473, 291,758.70 and 54,231.64

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Solution

The fourth proportional to 194,473, 291,758.70 and 54,231.64 is: 81,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473 : 291,758.70 = 54,231.64 : x
  2. Step 2: Convert to fraction form
    194,473/291,758.70 = 54,231.64/x
  3. Step 3: Cross multiply
    194,473x = 291,758.70 × 54,231.64
  4. Step 4: Simplify right side
    194,473x = 15,822,552,785.27
  5. Step 5: Solve for x
    x = 15,822,552,785.27/194,473
  6. Step 6: Final answer
    x = 81,361.18

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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.