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Finding the Fourth Proportional to 192,971.88, 289,455.21 and 86,327.64

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Solution

The fourth proportional to 192,971.88, 289,455.21 and 86,327.64 is: 129,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,971.88 : 289,455.21 = 86,327.64 : x
  2. Step 2: Convert to fraction form
    192,971.88/289,455.21 = 86,327.64/x
  3. Step 3: Cross multiply
    192,971.88x = 289,455.21 × 86,327.64
  4. Step 4: Simplify right side
    192,971.88x = 24,987,985,165.00
  5. Step 5: Solve for x
    x = 24,987,985,165.00/192,971.88
  6. Step 6: Final answer
    x = 129,490.29

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1.5x scale

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.