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Finding the Fourth Proportional to 282,057.36, 422,788.84 and 92,468.29

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Solution

The fourth proportional to 282,057.36, 422,788.84 and 92,468.29 is: 138,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,057.36 : 422,788.84 = 92,468.29 : x
  2. Step 2: Convert to fraction form
    282,057.36/422,788.84 = 92,468.29/x
  3. Step 3: Cross multiply
    282,057.36x = 422,788.84 × 92,468.29
  4. Step 4: Simplify right side
    282,057.36x = 39,094,561,065.88
  5. Step 5: Solve for x
    x = 39,094,561,065.88/282,057.36
  6. Step 6: Final answer
    x = 138,605.00

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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.