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Finding the Fourth Proportional to 194,284.88, 291,427.84 and 54,043.52

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Solution

The fourth proportional to 194,284.88, 291,427.84 and 54,043.52 is: 81,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,284.88 : 291,427.84 = 54,043.52 : x
  2. Step 2: Convert to fraction form
    194,284.88/291,427.84 = 54,043.52/x
  3. Step 3: Cross multiply
    194,284.88x = 291,427.84 × 54,043.52
  4. Step 4: Simplify right side
    194,284.88x = 15,749,786,299.60
  5. Step 5: Solve for x
    x = 15,749,786,299.60/194,284.88
  6. Step 6: Final answer
    x = 81,065.42

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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.