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Finding the Fourth Proportional to 194,554.80, 291,796.20 and 54,284.40

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Solution

The fourth proportional to 194,554.80, 291,796.20 and 54,284.40 is: 81,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,554.80 : 291,796.20 = 54,284.40 : x
  2. Step 2: Convert to fraction form
    194,554.80/291,796.20 = 54,284.40/x
  3. Step 3: Cross multiply
    194,554.80x = 291,796.20 × 54,284.40
  4. Step 4: Simplify right side
    194,554.80x = 15,839,981,639.28
  5. Step 5: Solve for x
    x = 15,839,981,639.28/194,554.80
  6. Step 6: Final answer
    x = 81,416.56

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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.