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Finding the Fourth Proportional to 194,417, 291,625.68 and 54,179.36

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Solution

The fourth proportional to 194,417, 291,625.68 and 54,179.36 is: 81,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417 : 291,625.68 = 54,179.36 : x
  2. Step 2: Convert to fraction form
    194,417/291,625.68 = 54,179.36/x
  3. Step 3: Cross multiply
    194,417x = 291,625.68 × 54,179.36
  4. Step 4: Simplify right side
    194,417x = 15,800,092,701.96
  5. Step 5: Solve for x
    x = 15,800,092,701.96/194,417
  6. Step 6: Final answer
    x = 81,269.09

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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.